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Factoring Polynomials by GCF

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

Factor completely: 4m-12

a)

(4)(m+3)

b)

4(m)(3)

c)

(4)(m-3)

d)

(4)(3m)

2.

Factor completely: 7x-21y

a)

(7)(x-3y)

b)

(7)(x+3y)

c)

(7x)(-3y)

d)

(7y)(x-3)

3.

Factor completely: 10x+25y

a)

(5)(2x+5)

b)

(5)(2+5y)

c)

(5)(2x)(5y)

d)

(5)(2x+5y)

4.

Factor completely: 21x-35z

a)

(5)(3x-5z)

b)

(7)(3x-5z)

c)

(3x-5z)

d)

(7)(3+5z)

5.

Factor completely: 60y3-30y2

a)

(30y)(2y2-1)

b)

(y)(2y2-1)

c)

(30y)(2y2+1)

d)

(60y)(2y2-1)

6.

Factor completely: ac+ad+bc+bd

a)

(c-d)(a-b)

b)

(d)(a+b)

c)

(c)(a+b)

d)

(c+d)(a+b)

7.

Factor completely: 3xy+py-6xz-2pz

a)

(3x+p)(y-2z)

b)

(6x+p)(y-2z)

c)

(3x+p)(yz)

d)

(p)(y-2z)

8.

Factor completely: 15ay-2bx-6by+5ax

a)

(3y)(5a-2b)

b)

(x-3y)(5a-2b)

c)

(x+3y)(5a-2b)

d)

(x+3y)(-2b)

9.

Factor completely: mp+mq+np+nq

a)

(m-n)(p-q)

b)

(m-n)(p+q)

c)

(m+n)(p+q)

d)

(m+n)(p-q)

10.

Factor completely: xy+5x-6y-30

a)

(x-6)

b)

(y+5)

c)

(y+5)(x+6)

d)

(y+5)(x-6)