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Factorisation introduction

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
The factorisation of 4x + 16 is _______
a)
4(x + 4)
b)
4(x - 4)
c)
x + 4
d)
4x + 4
2.
The greatest common factor of 5a and 15b is _____
a)
5
b)
3
c)
4
d)
15
3.
Choose the correct answer:
The factorisation of 25x2y - 5xy is  
a)
5xy (5x - 1)
b)
5xy (5x + 1)
c)
5xy (5x + 5)
d)
5xy (x - y)
4.
The factorisation of 4x + 16 is _______
a)
4(x + 4)
b)
4(x - 4)
c)
x + 4
d)
4x + 4
5.

Factorize  3x+9

a)

3(x+3)

b)

x(3+3)

c)

9(x-3)

d)

3x(x+9)

6.

Factorise 12x+36

a)

12(3x+1)

b)

x(12+36x)

c)

12(3x)

d)

12(x+3)

7.

On factorizing 14pq + 35pqr, we get:

a)

7pq(2+5r)

b)

q(14p+35pr)

c)

p(14q+35qr)

d)

pq(14+35r)

8.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

9.

Factorise 21x-14


a)

14(21x)

b)

14(21x−1)

c)

7(3x-2)

d)

7(3x−14)

10.

FACTORISE

ax + bx + x

a)

x(a + b + 1)

b)

x(a + b)

c)

x(x + b + a)

d)

x(x + b + 1)

11.

FactoriSE

3a²b + 3ab²

a)

3a(b + 2b)

b)

3(ab + ab²)

c)

3ab(a + b)

d)

3a²b(1 + b)

12.

Factorise  2d−9de2d-9de  

a)

 2d(1−9e)2d\left(1-9e\right)  

b)

 d(2−9e)d\left(2-9e\right)  

c)

 −7e-7e  

d)

 7e7e  

13.

Factorise  a2−4aa^2-4a  

a)

 a−4a-4  

b)

 −3a-3a  

c)

 a(a−4)a\left(a-4\right)  

d)

 3a23a^2  

14.

Factorise  8b2+6b8b^2+6b  

a)

 b(8b+6)b\left(8b+6\right)  

b)

 2b(4b+3)2b\left(4b+3\right)  

c)

 2b2(4b+3)2b^2\left(4b+3\right)  

d)

 14b314b^3  

15.

Factorise 12xy2−8y12xy^2-8y  


a)

 4y(3xy−2)4y\left(3xy-2\right)  

b)

 4x(3y2−2)4x\left(3y^2-2\right)  

c)

 4xy24xy^2  

d)

 4xy4xy  

16.

Factorise  a2−4aa^2-4a  

a)

 a−4a-4  

b)

 −3a-3a  

c)

 a(a−4)a\left(a-4\right)  

d)

 3a23a^2  

17.

Factorize

 3x2y − 6xy23x^2y\ -\ 6xy^2  

a)

3 (xy-y)

b)

3x (xy-2xy)

c)

3xy (x-2y)

d)

none of these

18.

Factorize

 x3+x2yx^3+x^2y  

a)

 x(x2+y)x\left(x^2+y\right)  

b)

 x2(x+y)x^2\left(x+y\right)  

c)

 x3 (1+y)x^{3\ }\left(1+y\right)  

d)

 x2(x2+y)x^2\left(x^2+y\right)  

19.

Factorise 3r + 3r2

a)

r (3 + r)

b)

3r (1 + r)

c)

3 (1 + r)

d)

3r (r + 3)

20.

Factorise 3 + 3r

a)

r (3 + r)

b)

3r (1 + r)

c)

3 (1 + r)

d)

3r (r + 3)