Factoring Monomials And By Grouping Worksheet With Answers
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1Factoring Monomials and By Grouping
Name _______________________
Factor.
2
2
3
5
4
3
1.
18 −
x
12
2.
21 +
x
14
3.
4
y
16
xy
4.
12
x −
16
x
5.
6
x
8
x
2
x
−
−
+
2
3
3
3
2
2
2
3
2
6.
9
x
3
x
6
x
7.
8
a
b
4
a
b
4
ab
16
ab
8.
3
x
y
2
x
y
5
xy
+
−
−
+
+
−
+
−
2
3
2
Answers: 1. 6(3x – 2)
2. 7(3x + 2)
3. 4y(y – 4x)
4. 4x
(3 – 4x)
5. 2x
(3x
– 4x + 1)
2
2
2
2
2
6. 3x(3 + x – 2x
)
7. 4ab(2a
b
– ab + 1 + 4b)
8. –xy(3x
– 2x + 5) or xy(-3x
+ 2x – 5)
Factor by grouping.
9.
ab
3
a
2
b
6
10.
ab
2
a
5
b
10
11.
ac
4
a
2
c
8
+
+
+
+
+
+
+
−
−
2
2
12.
bc
8
b
3
c
24
13.
2
x
3
xy
4
x
6
y
14.
3
x
12
x
4
xy
16
y
+
−
−
+
+
+
+
+
+
3
2
2
2
x
x
x
x
x
x
x
x
x
15.
3
4
12
16.
3
4
12
17.
2
3
6
9
+
+
+
+
+
+
−
+
−
Answers: 9. (b+3)(a+2)
10. (b+2)(a+5)
11. (c + 4)(a – 2)
12. (c + 8)(b – 3)
13. (2x + 3y)(x + 2)
2
14. (x + 4)(3x + 4y)
15. (x + 3)(x
+ 4)
16. (x + 3)(x + 4)
17. (2x – 3)(x + 3)
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