Chap7 Section2

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

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Section 7.2 Reducing Rational Functions 633 Version: Fall 2007 7.2 Exercises In Exercises 1 - 12 , reduce each rational number to lowest terms by applying the following steps: i. Prime factor both numerator and de- nominator. ii. Cancel common prime factors. iii. Simplify the numerator and denomi- nator of the result. 1. 147 98 2. 3087 245 3. 1715 196 4. 225 50 5. 1715 441 6. 56 24 7. 108 189 8. 75 500 9. 100 28 10. 98 147 11. 1125 175 12. 3087 8575 Copyrighted material. See: 1 In Exercises 13 - 18 , reduce the given ex- pression to lowest terms. State all re- strictions. 13. x 2 10 x + 9 5 x 5 14. x 2 9 x + 20 x 2 x 20 15. x 2 2 x 35 x 2 7 x 16. x 2 15 x + 54 x 2 + 7 x 8 17. x 2 + 2 x 63 x 2 + 13 x + 42 18. x 2 + 13 x + 42 9 x + 63 In Exercises 19 - 24 , negate any two parts of the fraction, then factor (if necessary) and cancel common factors to reduce the rational expression to lowest terms. State all restrictions. 19. x + 2 x 2 20. 4 x x 4 21. 2 x 6 3 x 22. 3 x + 12 x 4 23. 3 x 2 + 6 x x 2

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634 Chapter 7 Rational Functions Version: Fall 2007 24. 8 x 2 x 2 x 4 In Exercises 25 - 38 , reduce each of the given rational expressions to lowest terms. State all restrictions. 25. x 2 x 20 25 x 2 26. x x 2 x 2 3 x + 2 27. x 2 + 3 x 28 x 2 + 5 x 36 28. x 2 + 10 x + 9 x 2 + 15 x + 54 29. x 2 x 56 8 x x 2 30. x 2 7 x + 10 5 x x 2 31. x 2 + 13 x + 42 x 2 2 x 63 32. x 2 16 x 2 x 12 33. x 2 9 x + 14 49 x 2 34. x 2 + 7 x + 12 9 x 2 35. x 2 3 x 18 x 2 6 x + 5 36.
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