1. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
pages 463–465  Exercises
1. 8m2 + 48m
2. 3x2 + 30x
3. 63k2 + 36k
4. –5a2 + 5a
5. 18x2 + 2x3
6. –p3 + 11p2
7. 12x4 – 2x3 + 10x2
8. 36y5 + 32y4 – 44y2
9. –45c5 + 40c4 + 25c3
10. –42q7 + 14q3 + 49q2
11. –3g g9 – 15g7
12. –40x9 – 12x8 + 28x6
13. 3
14. 2a
15. 12
16. x
17. 5
18. 3x
19. 2(3x – 2)
20. v(v + 4)
21. 5(2x3 – 5x2 + 4)
22. 2t2(1 – 5t2)
23. 3n(5n2 – n + 4)
24. 6p3(p3 + 4p2 + 3)
25. Karla; Kevin multiplied
–2x by 3 instead of –3.
26. Answers may vary.
Sample: 8x3 + 12x2 + 24x;
4x(2x2 + 3x + 6)
27. –12a3 + 15a2 – 27a
28. 14p5 – 35p3
29. –60c3 + 36c2 – 48c
30. –4y2 + 13y
31. x2 + x
32. 12t 3 – 23t 2
33. a. A = 16 x2 – 4x2
b. A = 4x2(4 – 1)
9-2

2. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
34. 9m5(m7 – 4m2 + 9)
35. 24x(x2 – 4x + 2)
36. 16n(n2 + 3n – 5)
37. x2(5x2 + 4x + 3)
38. 13ab3(1 + 3ab)
39. 7g 2k2(k – 5g3)
40. 25; 52 = 25
41. a. n(n – 1)
b. Always; the product of
two consecutive integers
is always even since one
of the integers is even.
42. a. 1; 2; 3; 4; (n + 1)
b. 5050
43. a. 6; 3
b. n – 3
c. n2 – n
d. 20
44. a. V = 64s3
b. V = s2
c. V = 64s3 – s2
d. V = 16s2(4s – 3 )
e. about 182,071 in.3
45. B
46. F
47. C
48. G
49. B 1 2 3 2 n 2
9-2

3. Multiplying and Factoring
ALGEBRA 1 LESSON 9-2
57.
58.
59. –
60. 1
61.
62.
63. 4c3
64.
65. (3, 2)
66. (5, –3)
67. (1, 6)
50. [2] 2x2(5x2 + 3x + 1);
the terms 5x2, 3x,
and 1 have no
common factor
other than 1.
[1] incorrect factoring
or incorrect
explanation
51. –3x2 + 10
52. m3 – 5m2 + 12m + 6
53. 5g 2 – g
54. r2 – 16r + 16
55. t4 + 5t 2 – 9
56. 3b3 – 6b2 – 12 1 5 1 25 1 8 m2 n3
v 3 w5 a
b8c5
9-2