Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 6.6, Problem 468E
In the following exercises, divide each polynomial by the monomial.
468.
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Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter 6 Solutions
Elementary Algebra
Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Add: 12q2+9q2 .Ch. 6.1 - Add: 15c2+8c2 .Ch. 6.1 - Subtract: 8m(5m) .Ch. 6.1 - Subtract: 15z3(5z3) .Ch. 6.1 - Add: 8y2+3z23y2 .Ch. 6.1 - Add: 3m2+n27m2 .
Ch. 6.1 - Simplify: m2n28m2+4n2 .Ch. 6.1 - Simplify: pq26p5q2 .Ch. 6.1 - Find the sum: (7x24x+5)+(x27x+3) .Ch. 6.1 - Find the sum: (14y2+6y4)+(3y2+8y+5) .Ch. 6.1 - Find the difference: (8x2+3x19)(7x214) .Ch. 6.1 - Find the difference: (9b25b4)(3b25b7) .Ch. 6.1 - Subtract: (5z26z2) from (7z2+6z4) .Ch. 6.1 - Subtract: (x25x8) from (6x2+9x1) .Ch. 6.1 - Find the sum: (3x24xy+5y2)+(2x2xy) .Ch. 6.1 - Find the sum: (2x23xy2y2)+(5x23xy) .Ch. 6.1 - Find the difference: (a2+b2)(a2+5ab6b2) .Ch. 6.1 - Find the difference: (m2+n2)(m27mn3n2) .Ch. 6.1 - Simplify: (x3x2y)(xy2+y)+(x2y+xy2) .Ch. 6.1 - Simplify: (p3p2q)(pq2+q3)(p2q+pq2) .Ch. 6.1 - Evaluate: 3x2+2x15 when (a)x=3 (b)x=5 (c)x=0Ch. 6.1 - Evaluate: 5z2z4 when (a) z=2 (b) z=0 (c) z=2Ch. 6.1 - The polynomial 16t2+250 gives the height of a ball...Ch. 6.1 - The polynomial 16t2+250 gives the height of a ball...Ch. 6.1 - The polynomial 6x2+15xy gives the cost, in...Ch. 6.1 - The polynomial 6x2+15xy gives the cost, in...Ch. 6.1 - In the following exercises, determine if each of...Ch. 6.1 - In the following exercises, determine if each of...Ch. 6.1 - In the following exercises, determine if each of...Ch. 6.1 - In the following exercises, determine if each of...Ch. 6.1 - In the following exercises, determine the degree...Ch. 6.1 - In the following exercises, determine the degree...Ch. 6.1 - In the following exercises, determine the degree...Ch. 6.1 - In the following exercises, determine the degree...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, add or subtract the...Ch. 6.1 - 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In the following exercises, add or subtract the...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - In the following exercises, evaluate each...Ch. 6.1 - Fuel Efficiency The fuel efficiency (in miles per...Ch. 6.1 - Stopping Distance The number of feet it takes for...Ch. 6.1 - Rental Cost The cost to rent a rug cleaner for d...Ch. 6.1 - Height of Projectile The height (in feet) of an...Ch. 6.1 - Temperature Conversion The temperature in degrees...Ch. 6.1 - Using your own words, explain the difference...Ch. 6.1 - Using your own words, explain the difference...Ch. 6.1 - Ariana thinks the sum 6y2+5y4 is 11y6 . What is...Ch. 6.1 - Jonathan thinks that 13 and 1x are both monomials....Ch. 6.2 - Simplify: (a) 63 (b) 151 (c) (37)2 (d) (0.43)2Ch. 6.2 - Simplify: (a) 25 (b) 211 (c) (25)3 (d) (0.218)2 .Ch. 6.2 - Simplify: (a) (3)4 (b) 34 .Ch. 6.2 - Simplify: (a) (13)2 (b) 132 .Ch. 6.2 - Simplify: b9b8 .Ch. 6.2 - Simplify: x12x4 .Ch. 6.2 - Simplify: (a) 553 (b) 4949 .Ch. 6.2 - Simplify: (a) 7678 (b) 101010Ch. 6.2 - Simplify: (a) p5p (b) y14y29 .Ch. 6.2 - Simplify: (a) zz7 (b) b15b34.Ch. 6.2 - Simplify: x6x4x8 .Ch. 6.2 - Simplify: b5b9b5Ch. 6.2 - Simplify: (a) (b7)5 (b) (54)3 .Ch. 6.2 - Simplify: (a) (z6)9 (b) (37)7Ch. 6.2 - Simplify: (a) (12y)2 (b) (2wx)5 .Ch. 6.2 - Simplify: (a) (5wx)3 (b) (3y)3 .Ch. 6.2 - Simplify: (a) (a4)5(a7)4 (b) (2c4d2)3 .Ch. 6.2 - Simplify: (a) (3x6y7)4 (b) (q4)5(q3)3 .Ch. 6.2 - Simplify: (a) (5n)2(3n10) (b) (c4d2)5(3cd5)4 .Ch. 6.2 - Simplify: (a) (a3b2)6(4ab3)4 (b) (2x)3(5x7) .Ch. 6.2 - Multiply: (5y7)(7y4) .Ch. 6.2 - Multiply: (6b4)(9b5) .Ch. 6.2 - Multiply: (25a4b3)(15ab3) .Ch. 6.2 - Multiply: (23r5s)(12r6s7) .Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - 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In the following exercises, multiply the...Ch. 6.2 - In the following exercises, multiply the...Ch. 6.2 - In the following exercises, multiply the...Ch. 6.2 - In the following exercises, multiply the...Ch. 6.2 - In the following exercises, multiply the...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - In the following exercises, simplify each...Ch. 6.2 - Email Kate emails a flyer to ten of her friends...Ch. 6.2 - Salary Jamal’s boss gives him a 3% raise every...Ch. 6.2 - Clearance A department store is clearing out...Ch. 6.2 - Depreciation Once a new car is driven away from...Ch. 6.2 - Use the Product Property for Exponents to explain...Ch. 6.2 - Explain why 53=(5)3 but 54(5)4 .Ch. 6.2 - Jorge thinks (12)2 is 1. What is wrong with his...Ch. 6.2 - Explain why x3x5 is x8 , and not x15 .Ch. 6.3 - Multiply: 5(x+7) .Ch. 6.3 - Multiply: 3(y+13) .Ch. 6.3 - Multiply: x(x7) .Ch. 6.3 - Multiply: d(d11) .Ch. 6.3 - Multiply: 5x(x+4y) .Ch. 6.3 - Multiply: 2p(6p+r) .Ch. 6.3 - Multiply: 3y(5y2+8y7) .Ch. 6.3 - Multiply: 4x2(2x23x+5) .Ch. 6.3 - Multiply: 4x(3x25x+3) .Ch. 6.3 - Multiply: 6a3(3a22a+6) .Ch. 6.3 - Multiply: (x+8)p .Ch. 6.3 - Multiply: (a+4)p .Ch. 6.3 - Multiply: (x+8)(x+9) .Ch. 6.3 - Multiply: (5x+9)(4x+3) .Ch. 6.3 - Multiply: (3b+5)(4b+6) .Ch. 6.3 - Multiply: (a+10)(a+7) .Ch. 6.3 - Multiply: (5y+2)(6y3) .Ch. 6.3 - Multiply: (3c+4)(5c2) .Ch. 6.3 - Multiply: (a+7)(ab) .Ch. 6.3 - Multiply: (x+5)(xy) .Ch. 6.3 - Multiply using the FOIL method: (x+6)(x+8) .Ch. 6.3 - Multiply using the FOIL method: (y+17)(y+3) .Ch. 6.3 - Multiply: (x7)(x+5) .Ch. 6.3 - Multiply: (b3)(b+6) .Ch. 6.3 - Multiply: (3x+7)(5x2) .Ch. 6.3 - Multiply: (4y+5)(4y10) .Ch. 6.3 - Multiply: (10cd)(c6) .Ch. 6.3 - Multiply: (7xy)(2x5) .Ch. 6.3 - Multiply: (x2+6)(x8) .Ch. 6.3 - Multiply: (y2+7)(y9) .Ch. 6.3 - Multiply: (2ab+5)(4ab4) .Ch. 6.3 - Multiply: (2xy+3)(4xy5) .Ch. 6.3 - Multiply using the Vertical Method: (5m7)(3m6) .Ch. 6.3 - Multiply using the Vertical Method: (6b5)(7b3) .Ch. 6.3 - Multiply using the Distributive Property:...Ch. 6.3 - Multiply using the Distributive Property:...Ch. 6.3 - Multiply using the Vertical Method: (y3)(y25y+2) .Ch. 6.3 - Multiply using the Vertical Method: (x+4)(2x23x+5)...Ch. 6.3 - In the following exercises, multiply. 173. 4(w+10)Ch. 6.3 - In the following exercises, multiply. 174. 6(b+8)Ch. 6.3 - In the following exercises, multiply. 175. 3(a+7)Ch. 6.3 - In the following exercises, multiply. 176. 5(p+9)Ch. 6.3 - In the following exercises, multiply. 177. 2(x7)Ch. 6.3 - In the following exercises, multiply. 178. 7(y4)Ch. 6.3 - In the following exercises, multiply. 179. 3(k4)Ch. 6.3 - In the following exercises, multiply. 180. 8(j5)Ch. 6.3 - In the following exercises, multiply. 181. q(q+5)Ch. 6.3 - In the following exercises, multiply. 182. k(k+7)Ch. 6.3 - In the following exercises, multiply. 183. b(b+9)Ch. 6.3 - In the following exercises, multiply. 184. y(y+3)Ch. 6.3 - In the following exercises, multiply. 185. x(x10)Ch. 6.3 - In the following exercises, multiply. 186. p(p15)Ch. 6.3 - In the following exercises, multiply. 187....Ch. 6.3 - In the following exercises, multiply. 188....Ch. 6.3 - In the following exercises, multiply. 189....Ch. 6.3 - In the following exercises, multiply. 190. 9m(m11)Ch. 6.3 - In the following exercises, multiply. 191....Ch. 6.3 - In the following exercises, multiply. 192....Ch. 6.3 - In the following exercises, multiply. 193....Ch. 6.3 - In the following exercises, multiply. 194....Ch. 6.3 - In the following exercises, multiply. 195....Ch. 6.3 - In the following exercises, multiply. 196....Ch. 6.3 - In the following exercises, multiply. 197....Ch. 6.3 - In the following exercises, multiply. 198....Ch. 6.3 - In the following exercises, multiply. 199....Ch. 6.3 - In the following exercises, multiply. 200....Ch. 6.3 - In the following exercises, multiply. 201....Ch. 6.3 - In the following exercises, multiply. 202....Ch. 6.3 - In the following exercises, multiply. 203....Ch. 6.3 - In the following exercises, multiply. 204....Ch. 6.3 - In the following exercises, multiply. 205. (2m9)mCh. 6.3 - In the following exercises, multiply. 206. (8j1)jCh. 6.3 - In the following exercises, multiply. 207. (w6)8Ch. 6.3 - In the following exercises, multiply. 208. (k4)5Ch. 6.3 - In the following exercises, multiply. 209. 4(x+10)Ch. 6.3 - In the following exercises, multiply. 210. 6(y+8)Ch. 6.3 - In the following exercises, multiply. 211. 15(r24)Ch. 6.3 - In the following exercises, multiply. 212. 12(v30)Ch. 6.3 - In the following exercises, multiply. 213. 3(m+11)Ch. 6.3 - In the following exercises, multiply. 214. 4(p+15)Ch. 6.3 - In the following exercises, multiply. 215. 8(z5)Ch. 6.3 - In the following exercises, multiply. 216. 3(x9)Ch. 6.3 - In the following exercises, multiply. 217. u(u+5)Ch. 6.3 - In the following exercises, multiply. 218. q(q+7)Ch. 6.3 - In the following exercises, multiply. 219. n(n23n)Ch. 6.3 - In the following exercises, multiply. 220. s(s26s)Ch. 6.3 - In the following exercises, multiply. 221....Ch. 6.3 - In the following exercises, multiply. 222....Ch. 6.3 - In the following exercises, multiply. 223....Ch. 6.3 - In the following exercises, multiply. 224....Ch. 6.3 - In the following exercises, multiply. 225....Ch. 6.3 - In the following exercises, multiply. 226....Ch. 6.3 - In the following exercises, multiply. 227....Ch. 6.3 - In the following exercises, multiply. 228....Ch. 6.3 - In the following exercises, multiply. 229....Ch. 6.3 - In the following exercises, multiply. 230....Ch. 6.3 - In the following exercises, multiply. 231....Ch. 6.3 - In the following exercises, multiply. 232....Ch. 6.3 - In the following exercises, multiply. 233....Ch. 6.3 - In the following exercises, multiply. 234....Ch. 6.3 - In the following exercises, multiply. 235. (2y9)yCh. 6.3 - In the following exercises, multiply. 236. (8b1)bCh. 6.3 - In the following exercises, multiply the following...Ch. 6.3 - In the following exercises, multiply the following...Ch. 6.3 - In the following exercises, multiply the following...Ch. 6.3 - In the following exercises, multiply the following...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply the...Ch. 6.3 - In the following exercises, multiply using (a) the...Ch. 6.3 - In the following exercises, multiply using (a) the...Ch. 6.3 - In the following exercises, multiply using (a) the...Ch. 6.3 - In the following exercises, multiply using (a) the...Ch. 6.3 - In the following exercises, multiply. 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Multiply the following:...Ch. 6.3 - Multiply the following:...Ch. 6.3 - Multiply the following: (x4)(x4)(y1)(y1)(z7)(z7)...Ch. 6.4 - Multiply: (x+9)2 .Ch. 6.4 - Multiply: (y+11)2 .Ch. 6.4 - Multiply: (x9)2 .Ch. 6.4 - Multiply: (p13)2 .Ch. 6.4 - Multiply: (6x+3)2 .Ch. 6.4 - Multiply: (4x+9)2 .Ch. 6.4 - Multiply: (2cd)2 .Ch. 6.4 - Multiply: (4x5y)2 .Ch. 6.4 - Multiply: (2x2+1)2 .Ch. 6.4 - Multiply: (3y3+2)2 .Ch. 6.4 - Multiply: (x5)(x+5) .Ch. 6.4 - Multiply: (w3)(w+3) .Ch. 6.4 - Multiply: (6x+5)(6x5) .Ch. 6.4 - Multiply: (2x+7)(2x7) .Ch. 6.4 - Multiply: (7+4x)(74x) .Ch. 6.4 - Multiply: (92y)(9+2y) .Ch. 6.4 - Find the product: ( 4p7q )( 4p+7q )Ch. 6.4 - Find the product: (3xy)(3x+y) .Ch. 6.4 - Find the product: (xy6)(xy+6) .Ch. 6.4 - Find the product: (ab9)(ab+9) .Ch. 6.4 - Find the product: (3x24y3)(3x2+4y3) .Ch. 6.4 - Find the product: Find the product:...Ch. 6.4 - Choose the appropriate pattern and use it to find...Ch. 6.4 - Choose the appropriate pattern and use it to find...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, square each binomial...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, multiply each pair of...Ch. 6.4 - In the following exercises, find each product....Ch. 6.4 - In the following exercises, find each product....Ch. 6.4 - In the following exercises, find each product....Ch. 6.4 - In the following exercises, find each product....Ch. 6.4 - Mental math You can use the product of conjugates...Ch. 6.4 - Mental math You can use the binomial squares...Ch. 6.4 - How do you decide which pattern to use?Ch. 6.4 - Why does (a+b)2result in a trinomial. but...Ch. 6.4 - Marta did the following work on her homework...Ch. 6.4 - Use the order of operations to show that (3+5)2is...Ch. 6.5 - Simplify: (a) x15x10 (b) 61465Ch. 6.5 - Simplify: (a) y43y37 (b) 1015107Ch. 6.5 - Simplify: (a) x18x22 (b) 12151230Ch. 6.5 - Simplify: (a) m7m15 (b) 98919Ch. 6.5 - Simplify: (a) b19b11 (b) z5z11Ch. 6.5 - Simplify: (a) p9p17 (b) w13w9Ch. 6.5 - Simplify: (a) 150 (b) m0Ch. 6.5 - Simplify: (a) k0 (b) 290Ch. 6.5 - Simplify: (a) (11z)0 (b) (11pq3)0 .Ch. 6.5 - Simplify: (a) (6d)0 (b) (8m2n3)0Ch. 6.5 - Simplify: (a) (58)2 (b) (p 10)4 (c) (mn)4 .Ch. 6.5 - Simplify: (a) (13)3 (b) ( 2q)3 (c) (wx)4Ch. 6.5 - Simplify: (m5)4m7 .Ch. 6.5 - Simplify: (k2)6k7Ch. 6.5 - Simplify: n12(n3)4 .Ch. 6.5 - Simplify: x15(x3)5Ch. 6.5 - Simplify: ( r 5 r 3 )4Ch. 6.5 - Simplify: ( v 6 v 4 )3Ch. 6.5 - Simplify: ( a 3 b 2 )4Ch. 6.5 - Simplify: ( q 7 r 5 )3Ch. 6.5 - Simplify: ( 7 x 3 9y)2Ch. 6.5 - Simplify: ( 3 x 4 7y)2 .Ch. 6.5 - Simplify: (a2)3(a2)4(a4)5Ch. 6.5 - Simplify: (p3)4(p5)3(p7)6Ch. 6.5 - Simplify: (3r3)2(r3)7(r3)3Ch. 6.5 - Simplify: (2x4)5(4x3)2(x3)5Ch. 6.5 - Find the quotient: 42y96y3 .Ch. 6.5 - Find the quotient: 48z88z2 .Ch. 6.5 - Find the quotient: 72a7b38a12b4Ch. 6.5 - Find the quotient: 63c8d37c12d2 .Ch. 6.5 - Find the quotient: 16a7b624ab8Ch. 6.5 - Find the quotient: 27p4q745p12qCh. 6.5 - Find the quotient: 28x5y1449x9y12Ch. 6.5 - Find the quotient: 30m5n1148m10n14 .Ch. 6.5 - Find the quotient: (6a4b5)(4a2b5)12a5b8Ch. 6.5 - Find the quotient: (12x6y9)(4x5y8)12x10y12Ch. 6.5 - In the following exercises, simplify. 356. (a)...Ch. 6.5 - In the following exercises, simplify. 357. (a)...Ch. 6.5 - In the following exercises, simplify. 358. (a)...Ch. 6.5 - In the following exercises, simplify. 359. (a)...Ch. 6.5 - In the following exercises, simplify. 360. (a)...Ch. 6.5 - In the following exercises, simplify. 361. (a)...Ch. 6.5 - In the following exercises, simplify. 362. (a) bb9...Ch. 6.5 - In the following exercises, simplify. 363. (a) xx7...Ch. 6.5 - In the following exercises, simplify. 364. (a) 20º...Ch. 6.5 - In the following exercises, simplify. 365. (a) 13...Ch. 6.5 - In the following exercises, simplify. 366. (a) 27...Ch. 6.5 - In the following exercises, simplify. 367. (a) 15...Ch. 6.5 - In the following exercises, simplify. 368. (a)...Ch. 6.5 - In the following exercises, simplify. 369. (a)...Ch. 6.5 - In the following exercises, simplify. 370. (a)...Ch. 6.5 - In the following exercises, simplify. 371. (a)...Ch. 6.5 - In the following exercises, simplify. 372. (a)...Ch. 6.5 - In the following exercises, simplify. 373. (a)...Ch. 6.5 - In the following exercises, simplify. 343. (a)...Ch. 6.5 - In the following exercises, simplify. 375. (a)...Ch. 6.5 - In the following exercises, simplify. 376. (a) (a...Ch. 6.5 - In the following exercises, simplify. 377. (a) (x...Ch. 6.5 - In the following exercises, simplify. 378. (a2)3a4Ch. 6.5 - In the following exercises, simplify. 379. (p3)4p5Ch. 6.5 - In the following exercises, simplify. 380....Ch. 6.5 - wIn the following exercises, simplify. 381....Ch. 6.5 - In the following exercises, simplify. 382. u6(u3)2Ch. 6.5 - In the following exercises, simplify. 383....Ch. 6.5 - In the following exercises, simplify. 384....Ch. 6.5 - In the following exercises, simplify. 385. n8(n6)4Ch. 6.5 - In the following exercises, simplify. 386. ( p 9 p...Ch. 6.5 - In the following exercises, simplify. 387. ( q 8 q...Ch. 6.5 - In the following exercises, simplify. 388. ( r 2 r...Ch. 6.5 - In the following exercises, simplify. 389. ( m 4 m...Ch. 6.5 - In the following exercises, simplify. 390. (p r 11...Ch. 6.5 - In the following exercises, simplify. 391. (a b 6...Ch. 6.5 - In the following exercises, simplify. 392. ( w 5 x...Ch. 6.5 - In the following exercises, simplify. 393. ( y 4 z...Ch. 6.5 - In the following exercises, simplify. 394. ( 2 j 3...Ch. 6.5 - In the following exercises, simplify. 395. ( 3 m 5...Ch. 6.5 - In the following exercises, simplify. 396. ( 3 c 2...Ch. 6.5 - In the following exercises, simplify. 397. ( 5 u 7...Ch. 6.5 - In the following exercises, simplify. 398. ( k 2 k...Ch. 6.5 - In the following exercises, simplify. 399. ( j 2 j...Ch. 6.5 - In the following exercises, simplify. 400....Ch. 6.5 - In the following exercises, simplify. 401....Ch. 6.5 - In the following exercises, simplify. 402....Ch. 6.5 - In the following exercises, simplify. 403....Ch. 6.5 - In the following exercises, simplify. 404....Ch. 6.5 - In the following exercises, simplify. 405....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - In the following exercises, divide the monomials....Ch. 6.5 - (a) 24a5+2a5 (b) 24a52a5 (c) 24a52a5 (d) 24a52a5Ch. 6.5 - (a) 15n10+3n10 (b) 15n103n10 (c) 15n103n10 (d)...Ch. 6.5 - (a) p4p6 (b) (p4)6Ch. 6.5 - (a) q5q3 (b) (q5)3Ch. 6.5 - (a) y3y (b) yy3Ch. 6.5 - (a) z6z5 (b) z5z6Ch. 6.5 - (8x5)(9x)6x3Ch. 6.5 - (4y)(12y7)8y2Ch. 6.5 - 27a73a3+54a99a5Ch. 6.5 - 32c114c5+42c96c3Ch. 6.5 - 32y58y2+60y105y7Ch. 6.5 - 48x66x435x97x7Ch. 6.5 - 63r6s39r4s272r2s26sCh. 6.5 - 56y4z57y3z345y2z25yCh. 6.5 - Memory One megabyte is approximately 106 bytes....Ch. 6.5 - Memory One gigabyte is approximately 109 bytes....Ch. 6.5 - Jennifer thinks the quotient a24a6 simplifies to...Ch. 6.5 - Maurice simplifies the quotient d7d by writing...Ch. 6.5 - When Drake simplified 30 and (3)0 he got the same...Ch. 6.5 - Robert thinks x0 simplifies to 0. What would you...Ch. 6.6 - Find the quotient: 8z2+244Ch. 6.6 - Find the quotient: 18z2279Ch. 6.6 - Find the quotient: (27b233b2)3bCh. 6.6 - Find the quotient: (25y355y2)5y .Ch. 6.6 - Find the quotient: 25y215y5Ch. 6.6 - Find the quotient: 42b218b6Ch. 6.6 - Find the quotient: 60d7+24d54d3Ch. 6.6 - Find the quotient: 216p748p56p3Ch. 6.6 - Find the quotient: (32a2b16ab2)(8ab) .Ch. 6.6 - Find the quotient: (48a8b436a6b5)(6a3b3) .Ch. 6.6 - Find the quotient: 40x3y2+24x2y216x2y38x2yCh. 6.6 - Find the quotient: 35a4b2+14a4b242a2b47a2b2Ch. 6.6 - Find the quotient: 18c2+6c96cCh. 6.6 - Find the quotient: 10d25d25dCh. 6.6 - Find the quotient: (y2+10y+21)(y+3) .Ch. 6.6 - Find the quotient: (m2+9m+20)(m+4)Ch. 6.6 - Find the quotient: (2x23x20)(x4) .Ch. 6.6 - Find the quotient: (3x216x12)(x6) .Ch. 6.6 - Find the quotient: (x3+5x2+8x+6)(x+2) .Ch. 6.6 - Find the quotient: (2x3+8x2+x8)(x+1) .Ch. 6.6 - Find the quotient: (x3+3x+14)(x+2) .Ch. 6.6 - Find the quotient: (x43x31000)(x+5) .Ch. 6.6 - Find the quotient: (x364)(x4) .Ch. 6.6 - Find the quotient: 25x38)(5x2) .Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - In the following exercises, divide each polynomial...Ch. 6.6 - Average cost Pictures Plus produces digital...Ch. 6.6 - Handshakes At a company meeting, every employee...Ch. 6.6 - James divides 48y+6 4 by 6 this way : 48y+66=48y ....Ch. 6.6 - Divide 10x2+x122x and explain with words how you...Ch. 6.7 - Simplify: (a) 23 (b) 107Ch. 6.7 - Simplify: (a) 32 (b) 104Ch. 6.7 - Simplify: (a) 1p8 (b) 143 .Ch. 6.7 - Simplify: (a) 1q7 (b) 124 .Ch. 6.7 - Simplify: (a) (23)4 (b) ( 6mn)2 .Ch. 6.7 - Simplify: (a) (35)3 (b) (a 2b)4Ch. 6.7 - Simplify: (a) 52 (b) 52 (c) (15)2 (d) (15)2Ch. 6.7 - Simplify: (a) (7)2 (b) 72 (c) (17)2 (d) (17)2Ch. 6.7 - Simplify: (a) 631 (b) (63)1Ch. 6.7 - Simplify: (a) 822 (b) (82)2Ch. 6.7 - Simplify: (a) y7 (b) (z3)5Ch. 6.7 - Simplify: (a) p9 (b) (q4)6 .Ch. 6.7 - Simplify: (a) 8p1 (b) (8p)1 (c) (8p)1 .Ch. 6.7 - Simplify: (a) 11q1 (b) (11q)1 (c) (11q)1 (c)...Ch. 6.7 - Simplify: (a) (x3)x7 (b) y7y2 (c) z4z5Ch. 6.7 - Simplify: (a) a1a6 (b) b8b4 (c) c8c7 .Ch. 6.7 - Simplify: (p6q2)(p9q1)Ch. 6.7 - Simplify: (r5s3)(r7s5)Ch. 6.7 - Simplify: (3u5v7)(4u4v2) .Ch. 6.7 - Simplify: (6c6d4)(5c2d1)Ch. 6.7 - Simplify: (4x4)2Ch. 6.7 - Simplify: (2b3)4 .Ch. 6.7 - Simplify: (8a4)2 .Ch. 6.7 - Simplify: (2c4)3Ch. 6.7 - Simplify: x8x3 .Ch. 6.7 - Simplify: y8y6 .Ch. 6.7 - Write in scientific notation: 96,000.Ch. 6.7 - Write in scientific notation: 48,300.Ch. 6.7 - Write in scientific notation: 0.0078.Ch. 6.7 - Write in scientific notation: 0.0 129.Ch. 6.7 - Convert to decimal form: 1.3103 .Ch. 6.7 - Convert to decimal form: 9.25104 .Ch. 6.7 - Convert to decimal form: 1.2104 .Ch. 6.7 - Convert to decimal form: 7.5102 .Ch. 6.7 - Multiply (3106)(2108) . Write answers in decimal...Ch. 6.7 - Multiply (3102)(3101) . Write answers in decimal...Ch. 6.7 - Divide 81042101 . Write answers in decimal form.Ch. 6.7 - Divide 81024102 . Write answers in decimal form.Ch. 6.7 - In the following exercises, simplify. 500. (a) 42...Ch. 6.7 - In the following exercises, simplify. 501. (a) 34...Ch. 6.7 - In the following exercises, simplify. 502. (a) 53...Ch. 6.7 - In the following exercises, simplify. 503. (a) 28...Ch. 6.7 - In the following exercises, simplify. 504. (a) 1c5...Ch. 6.7 - In the following exercises, simplify. 505. (a) 1c5...Ch. 6.7 - In the following exercises, simplify. 506. (a)...Ch. 6.7 - In the following exercises, simplify. 507. (a) 1t9...Ch. 6.7 - In the following exercises, simplify. 508. (a)...Ch. 6.7 - In the following exercises, simplify. 509. (a) (3...Ch. 6.7 - In the following exercises, simplify. 510. (a)...Ch. 6.7 - In the following exercises, simplify. 511. (a)...Ch. 6.7 - In the following exercises, simplify. 512. (a)...Ch. 6.7 - In the following exercises, simplify. 513. (a)...Ch. 6.7 - In the following exercises, simplify. 514. (a) 33...Ch. 6.7 - In the following exercises, simplify. 515. (a) 53...Ch. 6.7 - In the following exercises, simplify. 516. (a) 351...Ch. 6.7 - In the following exercises, simplify. 517. (a) 251...Ch. 6.7 - In the following exercises, simplify. 518. (a) 452...Ch. 6.7 - In the following exercises, simplify. 519. (a) 342...Ch. 6.7 - In the following exercises, simplify. 520. (a) m4...Ch. 6.7 - In the following exercises, simplify. 521. (a) b5...Ch. 6.7 - In the following exercises, simplify. 522. (a) p10...Ch. 6.7 - In the following exercises, simplify. 523. (a) s8...Ch. 6.7 - In the following exercises, simplify. 524. (a) 7n1...Ch. 6.7 - In the following exercises, simplify. 525. (a) 6r1...Ch. 6.7 - In the following exercises, simplify. 526. (a)...Ch. 6.7 - In the following exercises, simplify. 527. (a)...Ch. 6.7 - In the following exercises, simplify. 528. (a)...Ch. 6.7 - In the following exercises, simplify. 529. (a)...Ch. 6.7 - In the following exercises, simplify. 530. (a)...Ch. 6.7 - In the following exercises, simplify. 531. (a)...Ch. 6.7 - In the following exercises, simplify. 532. p5p2p4Ch. 6.7 - In the following exercises, simplify. 533. x4x2x3Ch. 6.7 - In the following exercises, simplify. 534....Ch. 6.7 - In the following exercises, simplify. 535....Ch. 6.7 - In the following exercises, simplify. 536....Ch. 6.7 - In the following exercises, simplify. 537....Ch. 6.7 - In the following exercises, simplify. 538....Ch. 6.7 - In the following exercises, simplify. 539....Ch. 6.7 - In the following exercises, simplify. 540....Ch. 6.7 - In the following exercises, simplify. 541....Ch. 6.7 - In the following exercises, simplify. 542. (5x2)2Ch. 6.7 - In the following exercises, simplify. 543. (4y3)3Ch. 6.7 - In the following exercises, simplify. 544. (3z3)2Ch. 6.7 - In the following exercises, simplify. 545. (2p5)2Ch. 6.7 - In the following exercises, simplify. 546. t9t3Ch. 6.7 - In the following exercises, simplify. 547. n5n2Ch. 6.7 - In the following exercises, simplify. 548. x7x3Ch. 6.7 - In the following exercises, simplify. 549. y5y10Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, write each number in...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, convert each number to...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - In the following exercises, multiply. Write your...Ch. 6.7 - The population of the United States on July 4,...Ch. 6.7 - The population of the world on July 4, 2010 was...Ch. 6.7 - The average width of a human hair is 0.0018...Ch. 6.7 - The probability of winning the 2010 Megamillions...Ch. 6.7 - In 2010, the number of Facebook users each day who...Ch. 6.7 - At the start of 2012, the US federal budget had a...Ch. 6.7 - The concentration of carbon dioxide in the...Ch. 6.7 - The width of a proton is 1105 of the width of an...Ch. 6.7 - Health care costs The Centers for Medicare and...Ch. 6.7 - Coin production In 1942, the U.S. Mint produced...Ch. 6.7 - Distance The distance between Earth and one of the...Ch. 6.7 - Debt At the end of fiscal year 2015 the gross...Ch. 6.7 - (a) Explain the meaning of the exponent in the...Ch. 6.7 - When you convert a number from decimal notation to...Ch. 6 - In the following exercises, determine if each of...Ch. 6 - In the following exercises, determine if each of...Ch. 6 - In the following exercises, determine the degree...Ch. 6 - In the following exercises, determine the degree...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, add or subtract the...Ch. 6 - In the following exercises, evaluate each...Ch. 6 - In the following exercises, evaluate each...Ch. 6 - In the following exercises, evaluate each...Ch. 6 - In the following exercises, evaluate each...Ch. 6 - In the following exercises, simplify. 610. 104Ch. 6 - In the following exercises, simplify. 611. 171Ch. 6 - In the following exercises, simplify. 612. (29)2Ch. 6 - In the following exercises, simplify. 613. (0.5)3Ch. 6 - In the following exercises, simplify. 614. 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