1. 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)
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2. 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)
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3. 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)
,801
,409
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4. Factoring Trinomials of the Type ax2 + bx + c
ALGEBRA 1 LESSON 9-6
66. 38,809
69. 39,996
, 4, 16
72. – , –3, –27
, , 3
, 5, or
, , 2
, 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