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Factorization quiz

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

Factorize the following expression:-

20a2 – 45b2

a)

5(a+3b)(a-3b)

b)

(a + 8)(a – 8)

c)

5(2a + 3b)(2a – 3b)

2.

Factorise the following expression:-

x2 – 2xy + y2 – z2

a)

8(2xy + 1)(2xy – 1)

b)

(x – y – z)(x – y + z)

c)

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

3.

Find the common factors of the following:-

 6 xyz, 24 xy2 and 12 x2y

a)

6xy

b)

x2 y2

c)

6x2

4.

Find the common factors of the following:-

3x2 y3, 10x3 y2 and 6x2 y2 z

a)

x2y2

b)

2xyz

c)

xyz

5.

Factorise the following expression:-

(2x+5)(4x-3)

a)

8x-14x-30

b)

8x2+14x-15

c)

8x2-14x+15

6.

Factorise the following expression:-

(y-8)(3y-4)

a)

3y3+28y-32

b)

3y+14y2+16

c)

3y2-28y+32

7.

Factorise the following expression:-

(2pq+3q2)(3pq-2q2)

a)

6pq2-5pq3-6p2

b)

6p2q2+5pq3-6q4

c)

6p2q2-5pq3-6q4

8.

Factorise the following trinomials:-

x2 + 7x +10

a)

(x + 5)(x -2)

b)

(x + 5)(x + 2)

c)

2x(x-5)

9.

Factorize the following trinomials:-

x2 + 5x + 6

a)

(x + 2)(x + 3)

b)

(x - 2)(x -3)

c)

x(x+2)(x-3)

10.

Factorize by regrouping terms:-

z-6+6xy-xyz

a)

x(6+xy)

b)

(z-6)(1-xy)

c)

x(z-6)(1-y)

11.

Find out the common factors:-

14x,21y2

4 lines
12.

State whether the following expression is difference of a square or not:-

x2-100

a)

yes

b)

no

13.

State whether the following term is difference of a square or not:-

x-36

a)

yes

b)

no

14.

Factorize the following polynomials:-

x2 + 3x - 10

a)

(x - 2) (x + 5)

b)

(x - 3) (x - 6)

c)

x(x+5)(x+3)

15.

Factor the following polynomial:-

x2 + 2x - 24

a)

(x - 2) (x + 5)

b)

(x - 4) (x + 6)

c)

(3 x + 2) (x + 1)