Problem 6.1TI: Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial: (a) 5b... Problem 6.2TI: Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial: (a) 27z38... Problem 6.3TI: Find the degree of the following polynomials: (a) 15b (b) 10z4+4z25 (c) 12c5d4+9c3d97 (d) 3x2y4x (e)... Problem 6.4TI: Find the degree of the following polynomials: (a) 52 (b) a4b17a4 (c) 5x+6y+2z (d) 3x25x+7 (e) a3 Problem 6.5TI: Add: 12q2+9q2 . Problem 6.6TI: Add: 15c2+8c2 . Problem 6.7TI: Subtract: 8m(5m) . Problem 6.8TI: Subtract: 15z3(5z3) . Problem 6.9TI: Add: 8y2+3z23y2 . Problem 6.10TI: Add: 3m2+n27m2 . Problem 6.11TI: Simplify: m2n28m2+4n2 . Problem 6.12TI: Simplify: pq26p5q2 . Problem 6.13TI: Find the sum: (7x24x+5)+(x27x+3) . Problem 6.14TI: Find the sum: (14y2+6y4)+(3y2+8y+5) . Problem 6.15TI: Find the difference: (8x2+3x19)(7x214) . Problem 6.16TI: Find the difference: (9b25b4)(3b25b7) . Problem 6.17TI: Subtract: (5z26z2) from (7z2+6z4) . Problem 6.18TI: Subtract: (x25x8) from (6x2+9x1) . Problem 6.19TI: Find the sum: (3x24xy+5y2)+(2x2xy) . Problem 6.20TI: Find the sum: (2x23xy2y2)+(5x23xy) . Problem 6.21TI: Find the difference: (a2+b2)(a2+5ab6b2) . Problem 6.22TI: Find the difference: (m2+n2)(m27mn3n2) . Problem 6.23TI: Simplify: (x3x2y)(xy2+y)+(x2y+xy2) . Problem 6.24TI: Simplify: (p3p2q)(pq2+q3)(p2q+pq2) . Problem 6.25TI: Evaluate: 3x2+2x15 when (a)x=3 (b)x=5 (c)x=0 Problem 6.26TI: Evaluate: 5z2z4 when (a) z=2 (b) z=0 (c) z=2 Problem 6.27TI: The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot... Problem 6.28TI: The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot... Problem 6.29TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top... Problem 6.30TI: The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top... Problem 1E: In the following exercises, determine if each of the following polynomials is a monomial, binomial,... Problem 2E: In the following exercises, determine if each of the following polynomials is a monomial, binomial,... Problem 3E: In the following exercises, determine if each of the following polynomials is a monomial, binomial,... Problem 4E: In the following exercises, determine if each of the following polynomials is a monomial, binomial,... Problem 5E: In the following exercises, determine the degree of each polynomial. 5. (a) 6a2+12a+14 (b) 18xy2z... Problem 6E: In the following exercises, determine the degree of each polynomial. 6. (a) 9y310y2+2y6 (b) 12p4 (c)... Problem 7E: In the following exercises, determine the degree of each polynomial. 7. (a) 1429x (b) z25z6 (c)... Problem 8E: In the following exercises, determine the degree of each polynomial. 8. (a) 62y2 (b) 15 (c)... Problem 9E: In the following exercises, add or subtract the monomials. 9. 7x2+5x2 Problem 10E: In the following exercises, add or subtract the monomials. 10. 4y3+6y3 Problem 11E: In the following exercises, add or subtract the monomials. 11. 12w+18w Problem 12E: In the following exercises, add or subtract the monomials. 12. 3m+9m Problem 13E: In the following exercises, add or subtract the monomials. 13. 4a9a Problem 14E: In the following exercises, add or subtract the monomials. 14. y5y Problem 15E: In the following exercises, add or subtract the monomials. 15. 28x(12x) Problem 16E: In the following exercises, add or subtract the monomials. 16. 13z(4z) Problem 17E: In the following exercises, add or subtract the monomials. 17. 5b17b Problem 18E: In the following exercises, add or subtract the monomials. 18. 10x35x Problem 19E: In the following exercises, add or subtract the monomials. 19. 12a+5b22a Problem 20E: In the following exercises, add or subtract the monomials. 20. 14x3y13x Problem 21E: In the following exercises, add or subtract the monomials. 21. 2a2+b26a2 Problem 22E: In the following exercises, add or subtract the monomials. 22. 5u2+4v26u2 Problem 23E: In the following exercises, add or subtract the monomials. 23. xy25x5y2 Problem 24E: In the following exercises, add or subtract the monomials. 24. pq24p3q2 Problem 25E: In the following exercises, add or subtract the monomials. 25. a2b4a5ab2 Problem 26E: In the following exercises, add or subtract the monomials. 26. x2y3x+7xy2 Problem 27E: In the following exercises, add or subtract the monomials. 27. 12a+8b Problem 28E: In the following exercises, add or subtract the monomials. 28. 19y+5z Problem 29E: In the following exercises, add or subtract the monomials. 29. Add: 4a,3b,8a Problem 30E: In the following exercises, add or subtract the monomials. 30. Add: 4x,3y,3x Problem 31E: In the following exercises, add or subtract the monomials. 31. Subtract 5x6 from 12x6 . Problem 32E: In the following exercises, add or subtract the monomials. 32. Subtract 2p4 from 7p4 . Problem 33E: In the following exercises, add or subtract the polynomials. 33. (5y2+12y+4)+(6y28y+7) Problem 34E: In the following exercises, add or subtract the polynomials. 34. (4y2+10y+3)+(8y26y+5) Problem 35E: In the following exercises, add or subtract the polynomials. 35. (x2+6x+8)+(4x2+11x9) Problem 36E: In the following exercises, add or subtract the polynomials. 36. (y2+9y+4)+(2y25y1) Problem 37E: In the following exercises, add or subtract the polynomials. 37. (8x25x+2)+(3x2+3) Problem 38E: In the following exercises, add or subtract the polynomials. 38. (7x29x+2)+(6x24) Problem 39E: In the following exercises, add or subtract the polynomials. 39. (5a2+8)+(a24a9) Problem 40E: In the following exercises, add or subtract the polynomials. 40. (p26p18)+(2p2+11) Problem 41E: In the following exercises, add or subtract the polynomials. 41. (4m26m3)(2m2+m7) Problem 42E: In the following exercises, add or subtract the polynomials. 42. (3b24b+1)(5b2b2) Problem 43E: In the following exercises, add or subtract the polynomials. 43. (a2+8a+5)(a23a+2) Problem 44E: In the following exercises, add or subtract the polynomials. 44. (b27b+5)(b22b+9) Problem 45E: In the following exercises, add or subtract the polynomials. 45. (12s215s)(s9) Problem 46E: In the following exercises, add or subtract the polynomials. 46. (10r220r)(r8) Problem 47E: In the following exercises, add or subtract the polynomials. 47. Subtract (9x2+2) from (12x3x+6) . Problem 48E: In the following exercises, add or subtract the polynomials. 48. Subtract (5y2y+12) from (10y28y20)... Problem 49E: In the following exercises, add or subtract the polynomials. 49. Subtract (7w24w+2) from (8w2w+6) . Problem 50E: In the following exercises, add or subtract the polynomials. 50. Subtract (5x2x+12) from (9x26x20) . Problem 51E: In the following exercises, add or subtract the polynomials. 51. Find the sum of (2p38) and... Problem 52E: In the following exercises, add or subtract the polynomials. 52. Find the sum of (q2+4q+13) and... Problem 53E: In the following exercises, add or subtract the polynomials. 53. Find the sum of (8a38a) and... Problem 54E: In the following exercises, add or subtract the polynomials. 54. Find the sum of (b2+5b+13) and... Problem 55E: In the following exercises, add or subtract the polynomials. 55. Find the difference of (w2+w42) and... Problem 56E: In the following exercises, add or subtract the polynomials. 56. Find the difference of (z23z18) and... Problem 57E: In the following exercises, add or subtract the polynomials. 57. Find the difference of (c2+4c33)... Problem 58E: In the following exercises, add or subtract the polynomials. 58. Find the difference of (t25t15) and... Problem 59E: In the following exercises, add or subtract the polynomials. 59. (7x22xy+6y2)+(3x25xy) Problem 60E: In the following exercises, add or subtract the polynomials. 60. (5x24xy3y2)+(2x27xy) Problem 61E: In the following exercises, add or subtract the polynomials. 61. (7m2+mn8n2)+(3m2+2mn) Problem 62E: In the following exercises, add or subtract the polynomials. 62. (2r23rs2s2)+(5r23rs) Problem 63E: In the following exercises, add or subtract the polynomials. 63. (a2b2)(a2+3ab4b2) Problem 64E: In the following exercises, add or subtract the polynomials. 64. (m2+2n2)+(m28mnn2) Problem 65E: In the following exercises, add or subtract the polynomials. 65. (u2v2)(u24uv3v2) Problem 66E: In the following exercises, add or subtract the polynomials. 66. (j2k2)(j28jk5k2) Problem 67E: In the following exercises, add or subtract the polynomials. 67. (p33p2q)+(2pq2+4q3)(3p2q+pq2) Problem 68E: In the following exercises, add or subtract the polynomials. 68. (a32a2b)+(ab2+b3)(3a2b+4ab2) Problem 69E: In the following exercises, add or subtract the polynomials. 69. (x3x2y)(4xy2y3)+(3x2yxy2) Problem 70E: In the following exercises, add or subtract the polynomials. 70. (x32x2y)(xy23y3)(x2y4xy2) Problem 71E: In the following exercises, evaluate each polynomial for the given value. 71. Evaluate 8y23y+2 when:... Problem 72E: In the following exercises, evaluate each polynomial for the given value. 72. Evaluate 5y2y7 when:... Problem 73E: In the following exercises, evaluate each polynomial for the given value. 73. Evaluate 436x when:... Problem 74E: In the following exercises, evaluate each polynomial for the given value. 74. Evaluate 1636x2 when:... Problem 75E: In the following exercises, evaluate each polynomial for the given value. 75. A painter drops a... Problem 76E: In the following exercises, evaluate each polynomial for the given value. 76. A girl drops a ball... Problem 77E: In the following exercises, evaluate each polynomial for the given value. 77. A manufacturer of... Problem 78E: In the following exercises, evaluate each polynomial for the given value. 78. A manufacturer of the... Problem 79E: Fuel Efficiency The fuel efficiency (in miles per gallon) of a car going at a speed of x miles per... Problem 80E: Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on... Problem 81E: Rental Cost The cost to rent a rug cleaner for d days is given by the polynomial 5.50d+25 . Find the... Problem 82E: Height of Projectile The height (in feet) of an object projected upward is given by the polynomial... Problem 83E: Temperature Conversion The temperature in degrees Fahrenheit is given by the polynomial 95c+32 where... Problem 84E: Using your own words, explain the difference between a monomial, a binomial, and a trinomial. Problem 85E: Using your own words, explain the difference between a polynomial with five terms and a polynomial... Problem 86E: Ariana thinks the sum 6y2+5y4 is 11y6 . What is wrong with her reasoning? Problem 87E: Jonathan thinks that 13 and 1x are both monomials. What is wrong with his reasoning? format_list_bulleted
