Download Factor each polynomial. Confirm your answers using a graphing

8-6 Solving x^2 + bx + c = 0
Factor each polynomial. Confirm your answers using a graphing calculator.
2
1. x + 14x + 24
ANSWER: (x + 2)(x + 12)
2
2. y − 7y − 30
ANSWER: (y − 10)(y + 3)
2
3. n + 4n − 21
ANSWER: (n + 7)(n – 3)
2
4. m − 15m + 50
ANSWER: (m − 5)(m – 10)
Solve each equation. Check your solutions.
2
5. x − 4x − 21 = 0
ANSWER: −3, 7
2
6. n − 3n + 2 = 0
ANSWER: 1, 2
2
7. x − 15x + 54 = 0
ANSWER: 6, 9
2
8. x + 12x = −32
ANSWER: −4, −8
2
9. x − x − 72 = 0
ANSWER: −8, 9
2
10. x − 10x = −24
ANSWER: 4, 6
Factor
each
polynomial.
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2
12. x + 17x + 42
ANSWER: your answers using a graphing calculator.
Page 1
2
10. x − 10x = −24
ANSWER: 8-6 Solving
x^2 + bx + c = 0
4, 6
Factor each polynomial. Confirm your answers using a graphing calculator.
2
12. x + 17x + 42
ANSWER: (x + 3)(x + 14)
2
13. y − 17y + 72
ANSWER: (y − 9)(y − 8)
2
14. a + 8a − 48
ANSWER: (a − 4)(a + 12)
2
15. n − 2n − 35
ANSWER: (n − 7)(n + 5)
16. 44 + 15h + h
2
ANSWER: (h + 4)(h + 11)
17. 40 − 22x + x
2
ANSWER: (x − 2)(x − 20)
18. −24 − 10x + x
2
ANSWER: (x + 2)(x − 12)
2
19. −42 − m + m
ANSWER: (m + 6)(m − 7)
Solve each equation. Check your solutions.
2
20. x − 7x + 12 = 0
ANSWER: 3, 4
2
21. y + y = 20
ANSWER: 4, −5
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22. x − 6x = 27
ANSWER: Page 2
2
21. y + y = 20
ANSWER: 8-6 Solving
x^2 + bx + c = 0
4, −5
2
22. x − 6x = 27
ANSWER: −3, 9
2
23. a + 11a = −18
ANSWER: −2, −9
2
24. c + 10c + 9 = 0
ANSWER: −1, −9
2
25. x − 18x = −32
ANSWER: 2, 16
2
26. n − 120 = 7n
ANSWER: −8, 15
2
27. d + 56 = −18d
ANSWER: −4, −14
2
28. y − 90 = 13y
ANSWER: −5, 18
2
29. h + 48 = 16h
ANSWER: 4, 12
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