Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter6: Polynomials
6.1 Add And Subtract Polynomials 6.2 Use Multiplication Properties Of Exponents 6.3 Multiply Polynomials 6.4 Special Products 6.5 Divide Monomials 6.6 Divide Polynomials 6.7 Integer Exponents And Scientific Notation Chapter Questions Section6.1: Add And Subtract Polynomials
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? Problem 6.5TI: Add: 12q2+9q2 .
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Evaluate the given integral using substitution techniques
Transcribed Image Text: 44?-25
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With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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