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Worksheet by Kuta Software LLC
Applied Algebra II
Factoring Test REVIEW
Name___________________________________ ID: 2
Date________________ Period____
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-1-
Factor each trinomial. Be sure to check for the GCF first.
1) x
2
- 13x + 40 2) n
2
- 9n + 20
3) r
2
- 8r + 15 4) m
2
+ m - 12
5) 2x
2
- 6x - 56 6) 6m
2
- 54m - 60
7) 3x
2
+ 15x - 108 8) 4n
2
- 52n + 120
9) 2r
2
- 7r - 49 10) 5 p
2
+ 7 p - 6
11) 7x
2
- 3x - 4 12) 7 p
2
+ 47 p - 72
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Worksheet by Kuta Software LLC
-2-
Factor by grouping. Be sure to check for a GCF first.
13) 5k
3
- 15k
2
- 4k + 12 14) a
3
+ 4a
2
- 5a - 20
15) 84v
3
+ 98v
2
- 60v - 70 16) 80r
3
+ 64r
2
- 50r - 40
Factor by difference of squares. Be sure to check for GCF first.
17) 25x
2
- 16 18) 4x
2
- 25
Factor by sum/difference of cubes. Check for GCF first!
19) 8x
3
- 125 20) 64x
3
+ 1
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Worksheet by Kuta Software LLC
Applied Algebra II
Factoring Test REVIEW
Name___________________________________ ID: 2
Date________________ Period____
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-1-
Factor each trinomial. Be sure to check for the GCF first.
1) x
2
- 13x + 40
(
x - 8
)(
x - 5
)
2) n
2
- 9n + 20
(
n - 4
)(
n - 5
)
3) r
2
- 8r + 15
(
r - 5
)(
r - 3
)
4) m
2
+ m - 12
(
m + 4
)(
m - 3
)
5) 2x
2
- 6x - 56
2
(
x - 7
)(
x + 4
)
6) 6m
2
- 54m - 60
6
(
m - 10
)(
m + 1
)
7) 3x
2
+ 15x - 108
3
(
x + 9
)(
x - 4
)
8) 4n
2
- 52n + 120
4
(
n - 10
)(
n - 3
)
9) 2r
2
- 7r - 49
(
2r + 7
)(
r - 7
)
10) 5 p
2
+ 7 p - 6
(
5 p - 3
)(
p + 2
)
11) 7x
2
- 3x - 4
(
7x + 4
)(
x - 1
)
12) 7 p
2
+ 47 p - 72
(
7 p - 9
)(
p + 8
)
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Worksheet by Kuta Software LLC
-2-
Factor by grouping. Be sure to check for a GCF first.
13) 5k
3
- 15k
2
- 4k + 12
(
5k
2
- 4
)(
k - 3
)
14) a
3
+ 4a
2
- 5a - 20
(
a
2
- 5
)(
a + 4
)
15) 84v
3
+ 98v
2
- 60v - 70
2
(
7v
2
- 5
)(
6v + 7
)
16) 80r
3
+ 64r
2
- 50r - 40
2
(
8r
2
- 5
)(
5r + 4
)
Factor by difference of squares. Be sure to check for GCF first.
17) 25x
2
- 16
(
5x + 4
)(
5x - 4
)
18) 4x
2
- 25
(
2x + 5
)(
2x - 5
)
Factor by sum/difference of cubes. Check for GCF first!
19) 8x
3
- 125
(
2x - 5
)(
4x
2
+ 10x + 25
)
20) 64x
3
+ 1
(
4x + 1
)(
16x
2
- 4x + 1
)