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8-12 Holt McDougal Algebra 1
Factor each pol
ynomial. Check your answer.
1. 8c
2
+ 7c 2.
3n
3
+ 12n
2
3.
15x
5
− 18x
________________________ _________________________ ________________________
4. −8s
4
+ 20t
3
− 28
5. 6n
6
+ 18n
4
− 24n 6. −5m
4
− 5m
3
+ 5m
2
________________________ _________________________ ________________________
7. A ball is hit vertically into the air using a paddle at a
speed of 32 ft/sec. The expression −16t
2
+ 32t gives
the ball’s hei
ght after t seconds. Factor this expression.
___
________________________
8. The area of Margo’s laptop computer screen is
12x
2
+ 3x in
2
. Factor this
polynomial to find expressions
for the dimensions of her computer screen.
___________________________
Factor each expression.
9.
3m(m + 5) + 4(m + 5) 10. 16b(b − 3) + (b − 3)
_________________________________________
________________________________________
Factor each pol
ynomial by grouping.
11. 2x
3
+ 8x
2
+ 3x + 12
12. 4n
3
+ 3n
2
+ 4n + 3
_________________________________________
________________________________________
13.
10d
2
− 6d + 35d − 21
14. 12n
3
− 15n
2
− 8n + 10
_________________________________________ ________________________________________
15.
5b
4
− 15b
3
+ 3 − b 16.
t
3
− 5t
2
+ 10 − 2t
_________________________________________ ________________________________________
Name Date
Class
Practice B
Factoring by GCF
8-2
LESSON
TEKS
A.4.A
Copyright © by Holt, Rinehart and Winston.
53 Holt Algebra 1
All rights reserved.
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AK4up.indd 53AK4up.indd 53 12/28/05 7:59:01 PM12/28/05 7:59:01 PM