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factorization of algebraic expressions

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.

Factorize 4rs + 30st − 12su completely

a)

2s(2r + 15t − 6u)

b)

2(2rs + 15st − 6su)

c)

2s(2r − 15t + 6u)

d)

4s(r + 15t − 3u)

2.

Factorize 18ef − 6fg + 9hf completely

a)

3f(6e − 2g + 3h)

b)

6f(3e − g + 3h)

c)

3(6ef − 2fg + 3hf)

d)

18f(e − 3g + 2h)

3.

Factorize 3gh2 − gh completely

a)

gh(3h − 1)

b)

3gh(h − 1)

c)

g(3h2 − h)

d)

g(3h2 − 1)

4.

Factorize 4ax + 12ay − 8az

a)

4a(x + 3y − 2z)

b)

a(4x + 12y − 8z)

c)

4(ax + 3ay − 2az)

d)

8axyz

5.

Factorize 3mn − 12n completely

a)

3n(m − 4)

b)

3(mn − 4n)

c)

n(3m − 12)

d)

3n(m − 12)

6.

Factorize p2 + 2p

a)

p(p + 2)

b)

2p(p + 1)

c)

p(2p + 2)

7.

Factorize ab − a

a)

a(b + 1)

b)

a(b − 1)

8.

4a + 8b is the expanded form of the product

a)

4(a + 2b)

b)

2(2a + 8b)

9.

Factorize 2c − 14

a)

2(c − 7)

b)

2(c − 14)

10.

Factorize 6x + 3

a)

6(x + 3)

b)

3(2x + 3)

c)

3(2x + 1)

d)

9x

11.

Factorize 3xy+6y-5x-10

a)

(3y+5)(x+2)

b)

(3x-5)(y-2)

c)

(3y-5)(x+2)

d)

(3y+5)(x-2)

12.

Factorize axy-bcz+bcxy-az

a)

(a+bc)(xy-z)

b)

(a-b)(x-y)z

c)

a(b-c)(xy-z)

d)

x(a+b)c(x-z)

13.

Factorize 8cx+10cy+12cz

a)

4c(2x+5y+3z)

b)

2(4cx+5cy+6cz)

c)

2c(4x+5y+6z)

d)

2c(x+y+z)

14.

Factorize pa+qa+px+qx

a)

(a+q)(p+x)

b)

(x+p)(a+q)

c)

(a+x)(p+q)

d)

(a-q)(x-p)

15.

Factorize ax-by-ay+bx

a)

(a+b)(x+y)

b)

(a+b)(x-y)

c)

(a-b)(x-y)

d)

(a-b)(x+y)