Factoring Practice Worksheet With Answers
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1
2Factoring Practice
Factor a monomial.
2
5
4
2
1.
2. 3a
+ 5a
3. 10x
– 12x
8 +
x
12
5
4
3
4
4
3
3
2
2
2
3
4
2
2
4.
2
y
3
y
7
y
5.
x
y
3
x
y
6
x
y
6.
16
x
y
8
x
y
48
x
y
−
+
−
+
−
−
Answers:
2
3
2
2
3
2
1. 4(2x + 3)
2. a
(3 + 5a
)
3. 2x
(5x
– 6)
4.
y
2 (
y
− y
3
) 7
+
2
2
2
2
2
3
5.
x
y
(
x
y
− xy
3
) 6
6.
8
x
y
2 (
xy
6
y
)
+
−
−
Factor by grouping.
3
2
3
2
7.
x
4
x
3
x
12
8.
2
y
4
y
3
y
6
9. yz + 6z – 3y – 18
+
+
+
+
+
+
2
2
2
x
xy
x
y
x
x
xy
y
10. t
+ 4t – st – 4s
11.
21
6
49
14
12.
21
49
6
14
+
−
−
−
+
−
13. Examine problems 11 and 12 and the answers you got for each. Do different
groupings of the middle terms in a polynomial affect the binomial factoring?
Answers:
2
2
7.
(
x
4
)(
x
) 3
8.
(
y
2
)(
2
y
) 3
9. (y + 6)(z – 3)
10. (t + 4)(t – s)
+
+
+
+
11. (7x + 2y)(3x – 7)
12. (7x + 2y)(3x – 7)
13. No.
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