Factoring Trinomials of the Type ax2 + bx + c ALGEBRA 1 LESSON 9-6 pages 487–489  Exercises 1. (2n + 1)(n + 7) 2. (7d + 1)(d + 7) 3. (11w – 3)(w – 1) 4. (3x – 2)(x – 5) 5. (3t + 11)(2t + 1) 6. (3d – 5)(d – 4) 7. (2m + 1)(8m + 9) 8. (p – 1)(15p – 11) 9. (2y + 1)(4y + 13) 10. (2y + 1)(y + 17) 11. (x – 3)(7x – 9) 12. (4x + 3)(2x + 3) 13. (2t – 3)(t + 1) 14. (4y + 1)(2y – 3) 15. (2q + 3)(q – 7) 16. (7x + 1)(x – 3) 17. (13p – 5)(p + 1) 18. (5k – 7)(k + 1) 19. (5w + 8)(2w – 1) 20. (4d + 5)(3d – 4) 21. (7n + 15)(2n – 1) 22. 8(3m – 1)(m – 1) 23. 7(3v – 7)(v – 1) 24. 2(3t + 4)(t + 3) 25. 5(5x + 3)(x – 1) 26. 11(p + 1)(p + 6) 27. 2(4v + 3)(3v – 1) 28. Answers may vary. Sample: 41; (4g + 1)(g + 10) 14; (4g + 10)(g + 1) 22; (2g + 1)(2g + 10) 29. Answers may vary. Sample: 18; (5m – 4)(3m + 6) 54; (5m – 2)(3m + 12) 117; (5m – 1)(3m + 24) 30. Answers may vary. Sample: 8; (7g – 4)(5g + 4) 559; (35g – 1)(g + 16) 46; (7g – 2)(5g + 8) 9-6

Factoring Trinomials of the Type ax2 + bx + c ALGEBRA 1 LESSON 9-6 36. 28(m – 1)(m + 2) 37. 3(7h – 4)(h + 4) 38. (11n – 6)(5n – 2) 39. 2(6y – 1)(3y + 10) 40. (9w – 5)(7w – 6) 41. (9q – 1)(11q – 9) 42. 2 43. Answers may vary. Sample: 5x2 – 12x + 4 = (5x – 2)(x – 2); 9x2 – 12x + 3 = 3(3x – 1)(x – 1); 16x2 – 12x + 2 = 2(4x – 1)(2x – 1) 44. x(8x + 5)(7x + 1) 45. (7p – 3q)(7p + 12q) 31. a. (2x + 2)(x + 2); (x + 1)(2x + 4) b. 2x2 + 6x + 4; 2x2 + 6x + 4; yes c. Answers may vary. Sample: Neither factoring is complete. Each one has a common factor, 2. 32. Answers may vary. Sample: Factor out the GCF, 2, first. Look at the factors of 25 and 8 to find a combination that will give you a sum of –45. 2(25x2 – 45x + 8) = 2(5x – 1)(5x – 8). 33. (9p + 4)(6p + 7) 34. 3(11r + 4)(2r + 1) 35. (7x – 2)(2x – 7) 9-6

Factoring Trinomials of the Type ax2 + bx + c ALGEBRA 1 LESSON 9-6 46. 54h(2g – 1)(g – 1) 47. a. –2 and –3 b. (x + 2)(x + 3) c. Answers may vary. Sample: Each x-intercept is the opposite of the last term in a binomial factor. 48. D 49. G 50. D 51. H 52. D 53. [2] 3x2 + 40x – 75 = (3x – 5)(x + 15) [1] one computational error OR no work shown 54. (y + 7)(y + 1) 55. (t – 4)(t – 3) 56. (p – 5)(p + 4) 57. (m – 3)(m – 12) 58. (k + 18)(k – 2) 59. (g + 9)(g + 8) 60. (h – 16)(h + 3) 61. (x – 15)(x + 2) 62. (d – 4)(d – 14) 63. 7921 64. 160,801 65. 815,409 9-6

Factoring Trinomials of the Type ax2 + bx + c ALGEBRA 1 LESSON 9-6 66. 38,809 67. 1599 68. 1596 69. 39,996 70. 4891 71. , 4, 16 72. – , –3, –27 73. , , 3 74. 5000, 5, or 75. , , 2 76. 1000, 8, 0.32 77. 78. 79. 80. 1 2 1 9 1 81 1 3 5 100 1 20 1 1250 1 10 1 2 9-6