WorksheetsFactoring out a GCF
Total questions: 10
Worksheet time: 20mins
Name
Class
Date
1.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
2.
What is the GCF:
18x2y3 and 24x5y
a)
72x2y
b)
6x5y3
c)
6x2y
d)
72x5y3
3.
What is the GCF:
36x8y3 and 14x4y9
a)
2x4y3
b)
2x8y9
c)
252x8y9
d)
252x4y3
4.
Factor out the GCF
3x3 + 9x
a)
3x (x2 + 3)
b)
3x ( x3 + 9)
c)
x (3x2 + 9)
d)
3x (x3 + 3x)
5.
Factor completely
4a3b5 - 18a2b3 + 8a3b3
a)
4a2b3 (ab2 - 4 + 2a)
b)
2a2b3 (2ab2 - 9 + 4a)
c)
2a2b3 (2ab - 9ab + 4)
d)
a2b (4ab - 18a2b3 + 8ab2)
6.
9xyz + 3xy
a)
xy (9z + 3)
b)
9xy (z + 3)
c)
3xy (3xyz + 1)
d)
3xy (3z + 1)
7.
Factor completely
45xy + 15x3y + 10y
a)
5y (9xy + 3x2 + 2y)
b)
5xy (9 + 3x2 + 2)
c)
5x (9y + 3xy + 2)
d)
5y (9x + 3x3 + 2)
8.
Factor completely
21x7y6 + 30x5y8 - 18x5y6
a)
3xy (7x4y2 + 10x2y6 - 6x)
b)
3x5y6 (7y2 + 10 x2 - 6)
c)
3x5y6 (7x2 + 10y2 - 6)
d)
3x7y8 (7y2 + 10x2 - 6x2y2)
9.
Factor Completely
12abc + 18 ab2c - 6b
a)
6b (2abc + 3b - 1)
b)
6b ( 2ac + 3abc - 1)
c)
6b (2ac + 3abc)
d)
6abc (2 + b)
10.
Factor: 10r3s2+25r2s2-15r2s3
a)
5r2s2(2r + 5 - 3s)
b)
5rs(2r2s +5rs - 3rs2)
c)
5r2(2rs2 + 5s2 - 3s3)
d)
5s2(2r3 + 5r2 - 3r2s)
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