Chap7 Section4

# Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 7.4 Products and Quotients of Rational Functions 671 Version: Fall 2007 7.4 Exercises In Exercises 1 - 10 , reduce the product to a single fraction in lowest terms. 1. 108 14 · 6 100 2. 75 63 · 18 45 3. 189 56 · 12 27 4. 45 72 · 63 64 5. 15 36 · 28 100 6. 189 49 · 32 25 7. 21 100 · 125 16 8. 21 35 · 49 45 9. 56 20 · 98 32 10. 27 125 · 4 12 In Exercises 11 - 34 , multiply and sim- plify. State all restrictions. 11. x + 6 x 2 + 16 x + 63 · x 2 + 7 x x + 4 12. x 2 + 9 x x 2 25 · x 2 x 20 18 11 x x 2 Copyrighted material. See: 1 13. x 2 + 7 x + 10 x 2 1 · 9 + 10 x x 2 x 2 + 9 x + 20 14. x 2 + 5 x x 4 · x 2 x 2 + 6 x + 5 15. x 2 5 x x 2 + 2 x 48 · x 2 + 11 x + 24 x 2 x 16. x 2 6 x 27 x 2 + 10 x + 24 · x 2 + 13 x + 42 x 2 11 x + 18 17. x x 2 x 2 9 x + 8 · x 2 4 x + 3 x 2 + 4 x + 3 18. x 2 12 x + 35 x 2 + 2 x 15 · 45 + 4 x x 2 x 2 + x 30 19. x + 2 7 x · x 2 + x 56 x 2 + 7 x + 6 20. x 2 2 x 15 x 2 + x · x 2 + 7 x x 2 + 12 x + 27 21. x 2 9 x 2 4 x 45 · x 6 3 x

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672 Chapter 7 Rational Functions Version: Fall 2007 22. x 2 12 x + 27 x 4 · x 5 x 2 18 x + 81 23. x + 5 x 2 + 12 x + 32 · x 2 2 x 24 x + 7 24. x 2 36 x 2 + 11 x + 24 · 8 x x + 4 25. x 5 x 2 8 x + 12 · x 2 12 x + 36 x 8 26. x 2 5 x 36 x 1 · x 5 x 2 81 27. x 2 + 2 x 15 x 2 10 x + 16 · x 2 7 x + 10 3 x 2 + 13 x 10 28. 5 x 2 + 14 x 3 x + 9 · x 7 x 2 + 10 x + 21 29. x 2 4 x 2 + 2 x 63 · x 2 + 6 x 27 x 2 6 x 16 30. x 2 + 5 x + 6 x 2 3 x · x 2 5 x x 2 + 9 x + 18 31. x 1 x 2 + 2 x 63 · x 2 81 x + 4 32. x 2 + 9 x x 2 + 7 x + 12 · 27 + 6 x x 2 x 2 5 x 33. 5 x x + 3 · x 2 + 3 x 18 2 x 2 7 x 15 34. 4 x 2 + 21 x + 5 18 7 x x 2 · x 2 + 11 x + 18 x 2 25 In Exercises 35 - 58 , divide and simplify. State all restrictions. 35. x 2 14 x + 48 x 2 + 10 x + 16 24 + 11 x x 2 x 2 x 72 36. x 1 x 2 14 x + 48 ÷ x + 5 x 2 3 x 18 37. x 2 1 x 2 7 x + 12 ÷ x 2 + 6 x + 5 24 + 10 x x 2 38. x 2 13 x + 42 x 2 2 x 63 ÷ x 2 x 42 x 2 + 8 x + 7 39. x 2 25 x + 1 ÷ 5 x 2 + 23 x 10 x 3
Section 7.4 Products and Quotients of Rational Functions 673 Version: Fall 2007 40. x 2 3 x x 2 7 x + 6 x 2 4 x 3 x 2 11 x 42 41. x 2 + 10 x + 21 x 4 x 2 + 3 x x + 8 42. x 2 + 8 x + 15 x 2 14 x + 45 ÷ x 2 + 11 x + 30 30 + 11 x x 2 43. x 2 6 x 16 x 2 + x 42 x 2 64 x 2 + 12 x + 35 44. x 2 + 3 x + 2 x 2 9 x + 18 x 2 + 7 x + 6 x 2 6 x 45. x 2 + 12 x + 35 x + 4 x 2 + 10 x + 25 x + 9 46. x 2 8 x + 7 x 2 + 3 x 18 ÷ x 2 7 x x 2 + 6 x 27 47. x 2 + x 30 x 2 + 5 x 36 ÷ 6 x x + 8 48. 2 x x 2 x 2 15 x + 54 x 2 + x x 2 11 x + 30 49. x 2 9 x + 8 x 2 9 x 2 8 x 15 8 x x 2 50. x + 5 x 2 + 2 x + 1 ÷ x 2 x 2 + 10 x + 9 51. x 2 4 x + 8 x 2 10 x + 16 x + 3 52. 27 6 x x 2 x 2 + 9 x + 20 ÷ x 2 12 x + 27 x 2 + 5 x 53. x 2 + 5 x + 6 x 2 36 x 7 6 x 54.

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• Division, Fraction, Rational function, 2 g, 27 g

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