NAME
8-5
DATE
PERIOD
Skills Practice
Using the Distributive Property
Factor each polynomial.
1. 7x + 49
2. 8m - 6
7(x + 7)
3. 5a2 - 15
2(4m - 3)
4. 10q - 25q2
5(a 2 - 3)
5. 8ax - 56a
5q(2 - 5q)
6. 81r + 48rt
8a(x - 7)
7. t2h + 3t
3r(27 + 16t)
8. a2b2 + a
t(th + 3)
a(ab 2 + 1)
9. x + x2y + x3y2
10. 3p2r2 + 6pr + p
x(1 + xy + x 2y 2)
12. 10h3n3 - 2hn2 + 14hn
4a(ab 2 + 4b + 3)
2hn (5h2n 2 - n + 7)
13. x2 + 3x + x + 3
14. b2 - 2b + 3b - 6
(x + 1)(x + 3)
(b + 3)(b - 2)
15. 2j 2 + 2j + 3j + 3
16. 2a2 - 4a + a - 2
(2j + 3)(j + 1)
17. 6t2 - 4t - 3t + 2
(2a + 1)(a - 2)
18. 9x2 - 3xy + 6x - 2y
(2t - 1)(3t - 2)
(3x + 2)(3x - y)
Solve each equation. Check your solutions.
19. x(x - 8) = 0 {0, 8}
20. b(b + 12) = 0 {-12, 0}
21. (m - 3)(m + 5) = 0 {-5, 3}
22. (a - 9)(2a + 1) = 0
23. x2 - 5x = 0 {0, 5}
24. y2 + 3y = 0 {-3, 0}
25. 3a2 = 6a {0, 2}
26. 2x2 = 3x
Chapter 8
33
- −12 , 9
0, −32 Glencoe Algebra 1
Lesson 8-5
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
11. 4a2b2 + 16ab + 12a
p(3pr2 + 6r + 1)