Dividing Polynomials pages 664–666 Exercises 11. 3x – 1

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Presentation transcript:

Dividing Polynomials pages 664–666 Exercises 11. 3x – 1 ALGEBRA 1 LESSON 12-5 pages 664–666 Exercises 1. x4 – x3 + x2 2. 3x4 – 3. 3c2 + 2c – 4. n2 – 18n + 3 5. 4 – 6. –t 3 + 2t 2 – 4t + 5 7. x – 3 8. 2t + 9 + 9. n – 1 10. y – 3 + 11. 3x – 1 12. –2q – 10 + 13. 5t – 50 14. 2w2 + 2w + 5 – 15. b2 – 3b – 1 + 16. c2 – 17. t 2 – 2t – 2 18. n2 – 2n – 21 – 19. (r 2 + 5r + 1) cm 20. (4c2 – 8c + 16) ft 21. b + 12 + 22 2q + 1 2 x 1 3 10 w – 1 3 3b – 1 16 q 1 c – 1 8 n + 2 16 t – 3 8 y + 2 1 b + 4 12-5

41. a. Answers may vary. Sample: (c3 + 3c2 – 2c – 4); (c + 1) Dividing Polynomials ALGEBRA 1 LESSON 12-5 22. a – 1 – 23. 10w – 681 + 24. t – 25. 2x2 + 5x + 2 26. 3q 2 + 2q + 3 + 27. 3x + 2 – 28. c2 + 11c – 15 + 29. 2b2 + 2b + 10 + 30. y2 + 5y + 29 + 31. 28a – 12 32. 5t 3 – 25t 2 + 115t – 575 + 1 2x 8 c 12 q – 2 2 a + 4 49,046 w + 72 10 b – 1 138 y – 5 9 t + 4 2881 t + 5 33. k 2 – 0.3k – 0.4 34. 3s – 8 + 35. –2z2 + 3z – 4 + 36. 6m2 – 24m + 99 – 37. –16c2 – 20c – 25 38. 2r 4 + r 2 – 7 39. t – 1 + 40. z3 – 3z2 + 10z – 30 + 41. a. Answers may vary. Sample: (c3 + 3c2 – 2c – 4); (c + 1) b. (c3 + 3c2 – 2c – 4) ÷ (c + 1) = c2 + 2c – 4 29 2s + 3 5 z + 1 326 m + 4 2t 2t 3 + 1 88 z + 3 12-5

b. Answers may vary. Sample: x –2 –1 0 1 2 y 1 Dividing Polynomials ALGEBRA 1 LESSON 12-5 42. a. y = 2 – b. Answers may vary. Sample: x –2 –1 0 1 2 y 1 c. vertical asymptote: x = –3 horizontal asymptote: y = 2 43. The binomial is a factor of the polynomial if there is no remainder from the division. 1 x + 3 44. m2 + 5m + 4 45. a. d – 2 + b. d 2 – 2d + 3 – c. d 3 – 2d 2 + 3d – 4 + d. Answers may vary. Sample: d 4 – 2d 3 + 3d 2 – 4d + 5 – e. d 4 – 2d 3 + 3d 2 – 4d + 5 – 46. 12 47. a. t = b. t 2 – 7t + 12 48. 2a2b2 – 3ab3 + 5ab2 49. 3x + 2y 3 2 5 7 4 9 d + 1 6 d r 12-5

[1] one computational error OR correct answer with no work shown x + 1 Dividing Polynomials ALGEBRA 1 LESSON 12-5 50. 10r 5 + 2r 4 + 5r 2 51. 2b3 – 2b2 + 3 52. a. x – 3 + b. ƒ(x) = x – 3 + c. y = x – 3 d. 53. C 54. G 55. B 56. [2] x2 + 3x + 2 2x – 1 2x3 + 5x2 + x – 2 2x3 – x2 6x2 + x 6x2 – 3x 4x – 2 x + 2 x2 + 3x + 2 x2 + 2x x + 2 The width is x + 1. [1] one computational error OR correct answer with no work shown 10 x + 5 x + 1 12-5

b. Tables may vary. Sample: Dividing Polynomials ALGEBRA 1 LESSON 12-5 57. [4] a. 3 x + 4 3x + 10 3x + 12 –2 y = 3 – b. Tables may vary. Sample: vertical asymptote: x = –4 horizontal asymptote: y = 3; [3] appropriate methods, but with one computational error [2] no asymptotes OR no graph [1] one part only 58. n + 2 59. 60. 61. 62. 5 63. 9.4 64. 15 65. 17.9 66. 12.0 67. 16.2 68. 5.38 69. 17 70. –12.7 71. 63.25 72. 6.32 (t – 5)(3t + 1)(2t + 11) (2t – 55)(t + 1)(3t) 3c + 8 2c + 7 2 x + 4 (x + 5)(x + 4)2 (x + 7)(x + 8)2 12-5