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# R_5 - Chapter R Review R.5 1 3 5 7 9 11 13 14 15 17 19 21...

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Chapter R 24 Review R.5 Factoring Polynomials 1. 3 x 3 - 12 x = 3 x x 2 - 4 ( 29 = 3 x x + 2 ( 29 x - 2 ( 29 2. Prime 3. True 4. False 5. 3 x + 6 = 3( x + 2) 6. 7 x - 14 = 7( x - 2) 7. ax 2 + a = a ( x 2 + 1) 8. ax - a = a ( x - 1) 9. x 3 + x 2 + x = x ( x 2 + x + 1) 10. x 3 - x 2 + x = x ( x 2 - x + 1) 11. 2 x 2 - 2 x = 2 x ( x - 1) 12. 3 x 2 - 3 x = 3 x ( x - 1) 13. 3 x 2 y - 6 xy 2 + 12 xy = 3 xy ( x - 2 y + 4) 14. 60 x 2 y - 48 xy 2 + 72 x 3 y = 12 xy (5 x - 4 y + 6 x 2 ) 15. x 2 - 1 = x 2 - 1 2 = ( x - 1)( x + 1) 16. x 2 - 4 = x 2 - 2 2 = ( x - 2)( x + 2) 17. 4 x 2 - 1 = (2 x ) 2 - 1 2 = (2 x - 1)(2 x + 1) 18. 9 x 2 - 1 = (3 x ) 2 - 1 2 = (3 x - 1)(3 x + 1) 19. x 2 - 16 = x 2 - 4 2 = ( x - 4)( x + 4) 20. x 2 - 25 = x 2 - 5 2 = ( x - 5)( x + 5) 21. 25 x 2 - 4 = 5 x ( 29 2 - 2 2 = 5 x - 2 ( 29 5 x + 2 ( 29 22. 36 x 2 - 9 = 6 x ( 29 2 - 3 2 = 6 x + 3 ( 29 6 x - 3 ( 29 23. x 2 + 2 x + 1 = ( x + 1) 2 24. x 2 - 4 x + 4 = ( x - 2) 2 25. x 2 + 4 x + 4 = ( x + 2) 2 26. x 2 - 2 x + 1 = ( x - 1) 2 27. x 2 - 10 x + 25 = ( x - 5) 2 28. x 2 + 10 x + 25 = ( x + 5) 2 29. 4 x 2 + 4 x + 1 = (2 x + 1) 2 30. 9 x 2 + 6 x + 1 = (3 x + 1) 2 31. 16 x 2 + 8 x + 1 = (4 x + 1) 2 32. 25 x 2 + 10 x + 1 = (5 x + 1) 2 33. x 3 - 27 = x 3 - 3 3 = ( x - 3)( x 2 + 3 x + 9)

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Section R.5 Factoring Polynomials 25 34. x 3 + 125 = x 3 + 5 3 = ( x + 5)( x 2 - 5 x + 25) 35. x 3 + 27 = x 3 + 3 3 = ( x + 3)( x 2 - 3 x + 9) 36. 27 - 8 x 3 = 3 3 - (2 x ) 3 = (3 - 2 x )(9 + 6 x + 4 x 2 ) 37. 8 x 3 + 27 = (2 x ) 3 + 3 3 = (2 x + 3)(4 x 2 - 6 x + 9) 38. 64 - 27 x 3 = 4 3 - (3 x ) 3 = (4 - 3 x )(16 + 12 x + 9 x 2 ) 39. x 2 + 5 x + 6 = ( x + 2)( x + 3) 40. x 2 + 6 x + 8 = ( x + 2)( x + 4) 41. x
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R_5 - Chapter R Review R.5 1 3 5 7 9 11 13 14 15 17 19 21...

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