Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Concept explainers

Power Operation
Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…
Exponents
The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.
Textbook Question
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Chapter 5, Problem 423RE

In the following exercises, convert each number to decimal form.

423. 2.9 × 10 4

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Students have asked these similar questions
For the problem below, what are the possible solutions for x? Select all that apply. 2 x²+8x +11 = 0 x2+8x+16 = (x+4)² = 5 1116
For the problem below, what are the possible solutions for x? Select all that apply. x² + 12x - 62 = 0 x² + 12x + 36 = 62 + 36 (x+6)² = 98
Select the polynomials below that can be solved using Completing the Square as written. 6m² +12m 8 = 0 Oh²-22x 7 x²+4x-10= 0 x² + 11x 11x 4 = 0

Chapter 5 Solutions

Intermediate Algebra

Ch. 5.1 - Determine whether each polynomial is a monomial,...Ch. 5.1 - Determine whether each polynomial is a monomial,...Ch. 5.1 - Add or subtract: (a) 12q2+9q2 (b) 8mn3(5mn3) .Ch. 5.1 - Add or subtract: (a) 15c2+8c2 (b) 15y2z3(5y2z3) .Ch. 5.1 - Add: (a) 8y2+3z23y2 (b) m2n28m2+4n2 .Ch. 5.1 - Add: (a) 3m2+n27m2 (b) pq26p5q2 .Ch. 5.1 - Find the sum: (7x24x+5)+(x27x+3) .Ch. 5.1 - Find the sum: (14y2+6y4)+(3y2+8y+5) .Ch. 5.1 - Find the difference: (8x2+3x19)(7x214) .Ch. 5.1 - Find the difference: (9b25b4)(3b25b7) .
Ch. 5.1 - Subtract (a2+5ab6b2) from (a2+b2) .Ch. 5.1 - Subtract (m27mn3n2) from (m2+n2) .Ch. 5.1 - Find the sum: (3x24xy+5y2)+(2x2xy) .Ch. 5.1 - Find the sum: (2x23xy2y2)+(5x23xy) .Ch. 5.1 - Simplify: (x3x2y)(xy2+y3)+(x2y+xy2) .Ch. 5.1 - Simplify: (p3p2q)+(pq2+q3)(p2q+pq2) .Ch. 5.1 - For the function f(x)=3x2+2x15 , find (a) f(3) (b)...Ch. 5.1 - For the function g(x)=5x2x4 , find (a) g(2) (b)...Ch. 5.1 - The polynomial function h(t)=16t2+150 gives the...Ch. 5.1 - The polynomial function h(t)=16t2+175 gives the...Ch. 5.1 - For functions f(x)=2x24x+3 and g(x)=x22x6 , find...Ch. 5.1 - For functions f(x)=5x24x1 and g(x)=x2+3x+8 , find...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, find the difference of...Ch. 5.1 - In the following exercises, find the difference of...Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - Using your own words, explain the difference...Ch. 5.1 - Using your own words, explain the difference...Ch. 5.1 - Ariana thinks the sum 6y2+5y4 is 11y6. What is...Ch. 5.1 - Is every trinomial a second degree polynomial? If...Ch. 5.2 - Simplify each expression: (a) b9b8 (b) 42x4x (c)...Ch. 5.2 - Simplify each expression: (a) x12x4 (b) 1010x (c)...Ch. 5.2 - Simplify each expression: (a) x15x10 (b) 61465 (c)...Ch. 5.2 - Simplify each expression: (a) y43y37 (b) 1015107...Ch. 5.2 - Simplify each expression: (a) 110 (b) q0 .Ch. 5.2 - Simplify each expression: (a) 230 (b) r0 .Ch. 5.2 - Simplify each expression: (a)z3 (b) 107 (c) 1p8...Ch. 5.2 - Simplify each expression: (a) n2 (b) 104 (c) 1q7...Ch. 5.2 - Simplify each expression: (a) (23)4 (b) (mn)2 .Ch. 5.2 - Simplify each expression: (a) (35)3 (b) (ab)4 .Ch. 5.2 - Simplify each expression: (a) z4z5 (b)...Ch. 5.2 - Simplify each expression: (a) c8c7 (b)...Ch. 5.2 - Simplify each expression: (a) (b7)5 (b) (54)3 (c)...Ch. 5.2 - Simplify each expression: (a)(z6)9 (b) (37)7 (c)...Ch. 5.2 - Simplify each expression: (a) (2wx)5 (b) (11pq3)0...Ch. 5.2 - Simplify each expression: (a) (3y)3 (b) (8m2n3)0...Ch. 5.2 - Simplify each expression: (a) (p10)4 (b) (mn)7 (c)...Ch. 5.2 - Simplify each expression: (a) (2q)3 (b) (wx)4 (c)...Ch. 5.2 - Simplify each expression: (a) (c4d2)5(3cd5)4 (b) (...Ch. 5.2 - Simplify each expression: (a) (a3b2)6(4ab3)4 (b) (...Ch. 5.2 - Write in scientific notation: (a) 96,000 (b)...Ch. 5.2 - Write in scientific notation: (a) 48,300 (b)...Ch. 5.2 - Convert to decimal form: (a) 1.3103 (b) 1.2104 .Ch. 5.2 - Convert to decimal form: (a) 9.5104 (b) 7.5102 .Ch. 5.2 - Multiply or divide as indicated. Write answers in...Ch. 5.2 - Multiply or divide as indicated. Write answers in...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - 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In the following exercises, multiply or divide as...Ch. 5.2 - Use the Product Property for Exponents to explain...Ch. 5.2 - Jennifer thinks the quotient a24a6 simplifies to...Ch. 5.2 - Explain why 53=(5)3 but 54(5)4 .Ch. 5.2 - When you convert a number from decimal notation to...Ch. 5.3 - Multiply: (a) (5y7)(7y4) (b) (25a4b3)(15ab3) .Ch. 5.3 - Multiply: (a) (6b4)(9b5) (b) (23r5s)(12r6s7) .Ch. 5.3 - Multiply: (a) 3y(5y2+8y7) (b) 4x2y2(3x25xy+3y2) .Ch. 5.3 - Multiply: (a) 4x2(2x23x+5) (b) 6a3b(3a22ab+6b2) .Ch. 5.3 - Multiply: (a) (x+8)(x+9) (b) (3c+4)(5c2) .Ch. 5.3 - Multiply: (a) (5x+9)(4x+3) (b) (5y+2)(6y3) .Ch. 5.3 - Multiply: (a) (x7)(x+5) (b) (3x+7)(5x2) .Ch. 5.3 - Multiply: (a) (b3)(b+6) (b) (4y+5)(4y10) .Ch. 5.3 - Multiply: (a) (x2+6)(x8) (b) (2ab+5)(4ab4) .Ch. 5.3 - Multiply: (a) (y2+7)(y9) (b) (2xy+3)(4xy5) .Ch. 5.3 - Multiply using the Vertical Method: (5m7)(3m6) .Ch. 5.3 - Multiply using the Vertical Method: (6b5)(7b3) .Ch. 5.3 - Multiply (y3)(y25y+2) using (a) the Distributive...Ch. 5.3 - Multiply (x+4)(2x23x+5) using (a) the Distributive...Ch. 5.3 - Multiply: (a) (x+9)2 (b) (2cd)2 .Ch. 5.3 - Multiply: (a) (y+11)2 (b) (4x5y)2 .Ch. 5.3 - Multiply: (a) (6x+5)(6x5) (b) (4p7q)(4p+7q) .Ch. 5.3 - Multiply: (a) (2x+7)(2x7) (b) (3xy)(3x+y) .Ch. 5.3 - Choose the appropriate pattern and use it to find...Ch. 5.3 - Choose the appropriate pattern and use it to find...Ch. 5.3 - For functions f(x)=x5 and g(x)=x22x+3 , find (a)...Ch. 5.3 - For functions f(x7) and g(x)=x2+8x+4 , find (a)...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply. 182. (a)...Ch. 5.3 - In the following exercises, multiply. 183. (a)...Ch. 5.3 - In the following exercises, multiply. 184. (a)...Ch. 5.3 - In the following exercises, multiply. 185. (a)...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - (10y6)+(4y7)Ch. 5.3 - (15p4)+(3p5)Ch. 5.3 - (x24x34)(x2+7x6)Ch. 5.3 - (j28j27)(j2+2j12)Ch. 5.3 - (15f8)(20f3)Ch. 5.3 - (14d5)(36d2)Ch. 5.3 - (4a3b)(9a2b6)Ch. 5.3 - (6m4n3)(7mn5)Ch. 5.3 - 5m(m2+3m18)Ch. 5.3 - 5q3(q22q+6)Ch. 5.3 - (s7)(s+9)Ch. 5.3 - (y22y)(y+1)Ch. 5.3 - (5xy)(x4)Ch. 5.3 - (6k1)(k2+2k4)Ch. 5.3 - (3x11y)(3x11y)Ch. 5.3 - (11b)(11+b)Ch. 5.3 - (rs27)(rs+27)Ch. 5.3 - (2x23y4)(2x2+3y4)Ch. 5.3 - (m15)2Ch. 5.3 - (3d+1)2Ch. 5.3 - (4a+10)2Ch. 5.3 - (3z+15)2Ch. 5.3 - For functions f(x)=x+2 and g(x)=3x22x+4 , find (a)...Ch. 5.3 - For functions f(x)=x1 and g(x)=4x2+3x5 , find (a)...Ch. 5.3 - For functions f(x)=2x7 and g(x)=2x+7 , find (a)...Ch. 5.3 - For functions f(x)=7x8 and g(x)=7x+8 , find (a)...Ch. 5.3 - For functions f(x)=x25x+2 and g(x)=x23x1 , find...Ch. 5.3 - For functions f(x)=x2+4x3 and g(x)=x2+2x+4 , find...Ch. 5.3 - Which method do you prefer to use when multiplying...Ch. 5.3 - Multiply the following:...Ch. 5.3 - Multiply the following:...Ch. 5.3 - Why does (a+b)2 result in a trinomial, but...Ch. 5.4 - Find the quotient: 72a7b3(8a12b4) .Ch. 5.4 - Find the quotient: 63c8d3(7c12d2) .Ch. 5.4 - Find the quotient: 28x5y1449x9y12 .Ch. 5.4 - Find the quotient: 30m5n1148m10n14 .Ch. 5.4 - Find the quotient: (32a2b16ab2)(8ab) .Ch. 5.4 - Find the quotient: (48a8b436a6b5)(6a3b3) .Ch. 5.4 - Find the quotient: (y2+10y+21)(y+3) .Ch. 5.4 - Find the quotient: (m2+9m+20)(m+4) .Ch. 5.4 - Find the quotient: (x47x2+7x+6)(x+3) .Ch. 5.4 - Find the quotient: (x411x27x6)(x+3) .Ch. 5.4 - Find the quotient: (x264)(x4) .Ch. 5.4 - Find the quotient: (125x38)(5x2) .Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - For functions f(x)=x25x24 and g(x)=x+3 , find (a)...Ch. 5.4 - For functions f(x)=x25x36 and g(x)=x+4 , find (a)...Ch. 5.4 - Use the Remainder Theorem to find the remainder...Ch. 5.4 - Use the Remainder Theorem to find the remainder...Ch. 5.4 - Use the Factor Theorem to determine if x5 is a...Ch. 5.4 - Use the Factor Theorem to determine if x6 is a...Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, divide. 324. 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