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NAME
8-7
DATE
PERIOD
Skills Practice
Solving ax2 + bx + c = 0
Factor each polynomial, if possible. If the polynomial cannot be factored using
integers, write prime.
1. 2x2 + 5x + 2
2. 3n2 + 5n + 2
(x + 2)(2x + 1)
(3n + 2)(n + 1)
3. 2t2 + 9t - 5
4. 3g2 - 7g + 2
(3g - 1)(g - 2)
5. 2t2 - 11t + 15
6. 2x2 + 3x - 6
(t - 3)(2t - 5)
prime
7. 2y2 + y - 1
8. 4h2 + 8h - 5
(y + 1)(2y - 1)
(2h + 5)(2h - 1)
9. 4x2 - 3x - 3
10. 4b2 + 15b - 4
prime
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Lesson 8-7
(t + 5)(2t - 1)
(4b - 1)(b + 4)
11. 9p2 + 6p - 8
12. 6q2 - 13q + 6
(3p - 2)(3p + 4)
(3q - 2)(2q - 3)
13. 3a2 + 30a + 63
14. 10w2 - 19w - 15
3(a + 7)(a + 3)
(2w - 5)(5w + 3)
Solve each equation. Check the solutions.
15. 2x2 + 7x + 3 = 0
-3, - −12 16. 3w2 + 14w + 8 = 0
17. 3n2 - 7n + 2 = 0
−13 , 2
18. 5d2 - 22d + 8 = 0
19. 6h2 + 8h + 2 = 0
-1, - −13 20. 8p2 - 16p = 10
21. 9y2 + 18y - 12 = 6y
-2, −23 23. 10b2 - 15b = 8b - 12
Chapter 8
−45 , −32 -4, - −23 −25 , 4
- −12 , −52 22. 4a2 - 16a = -15
−32 , −52 24. 6d2 + 21d = 10d + 35
45
- −72 , −53 Glencoe Algebra 1
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