Name ________________________________________ Date __________________ Class__________________
LESSON
14-1
Practice B
Factoring x2 bx c
Factor each trinomial.
1. x2 7x 10
2. x2 9x 8
________________________
2
4. x 9x 14
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7. x 9x 18
10. x 12x 20
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13. x 7x 18
16. x 2x 15
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2
11. x 11x 18
19. x 5x 6
2
14. x 10x 24
22. x x 56
2
17. x 5x 6
________________________
15. x2 2x 3
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18. x2 5x 24
_________________________
2
20. x 2x 35
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21. x2 7x 30
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2
23. x 2x 8
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25. Factor n2 5n 24.
Show that the original
polynomial and the
factored form describe
the same sequence
of numbers for
n 0, 1, 2, 3, and 4.
12. x2 12x 32
_________________________
________________________
2
________________________
_________________________
________________________
2
9. x2 9x 20
8. x 5x 4
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2
________________________
2
________________________
2
6. x2 9x 18
5. x 7x 12
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2
________________________
2
________________________
2
3. x2 13x 36
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24. x2 x 20
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n
n2 5n 24
________________________
n
________________________
© Houghton Mifflin Harcourt Publishing Company
378
Holt McDougal Analytic Geometry
n
0
1
2
3
4
(n 1)(n 5)
(0 1)(0 5) 5
(1 1)(1 5) 12
(2 1)(2 5) 21
(3 1)(3 5) 32
(4 1)(4 5) 45
13. (f 7)(f 4)
14. (b 14)(b 3)
15. (x 20)(x 8)
16. (g 8)(g 6)
17. (k 18)(k 2)
18. (x 9)(x 7)
19. (p 2)(p 4)
20. (x 8)(x 9)
21. (q 3)(q 6)
22. (x 4)(x 8)
23. (t 3)(t 13)
24. (w 5)(w 25)
25. (n 12)(n 4)
Practice B
1. (x 2)(x 5)
2. (x 1)(x 8)
n
3. (x 4)(x 9)
4. (x 7)(x 2)
0
5. (x 3)(x 4)
7. (x 6)(x 3)
9. (x 5)(x 4)
13. (x 9)(x 2)
14. (x 12)(x 2)
15. (x 3)(x 1)
16. (x 5)(x 3)
17. (x 6)(x 1)
18. (x 8)(x 3)
19. (x 1)(x 6)
20. (x 5)(x 7)
21. (x 3)(x 10)
23. (x 2)(x 4)
39
2
28
2
15
2
0
2 8(2) 48
3 8(3) 48
3
10. (x 2)(x 10)
48
2
1 8(1) 48
2
8. (x 4)(x 1)
12. (x 8)(x 4)
02 8(0) 48
1
6. (x 6)(x 3)
11. (x 9)(x 2)
n2 8n 48
4 8(4) 48
4
(n 12)(n 4)
n
0
(0 12)(0 4)
48
1
(1 12)(1 4)
39
22. (x 7)(x 8)
2
(2 12)(2 4)
28
24. (x 4)(x 5)
3
(3 12)(3 4)
15
4
(4 12)(4 4)
0
25. (n 8)(n 3)
2
n
0
1
2
3
4
n 5n 24
0 5(0) 24 24
12 5(1) 24 18
22 5(2) 24 10
32 5(3) 24 0
42 5(4) 24 12
n
0
1
2
3
4
(n 8)(n 3)
(0 8)(0 3) 24
(1 8)(1 3) 18
(2 8)(2 3) 10
(3 8)(3 3) 0
(4 8)(4 3) 12
Reteach
2
1. 16; 10
Factors
1 and 16
17
2 and 8
10
4 and 8
(x 2)(x 8)
4
2. 20; 9
Factors
Practice C
Sum
1 and 20
21
2 and 10
12
1. (x 6)(x 4)
2. (y 2)(y 10)
3. (a 9)(a 6)
4. (h 15)(h 3)
5. (x 12)(x 4)
6. (c 5)(c 10)
3. (x 12)(x 1)
7. (x 12)(x 4)
8. (d 11)(d 8)
5. (x 9)(x 4)
9. (x 2)(x 18)
10. (m 1)(m 42)
11. (x 2)(x 14)
Sum
4 and 5
(x 4)(x 5)
9
4. (x 10)(x 5)
12. (n 7)(n 5)
© Houghton Mifflin Harcourt Publishing Company
A71
Holt McDougal Analytic Geometry