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factor algebraic expression

Total questions: 14

Worksheet time: 23mins

Name
Class
Date
1.
Factorise x²+4x
a)
x(x+4)
b)
4x(x+1)
2.
Factorise 2x+8
a)
2(x+4)
b)
2(x+8)
3.
Factorise 4x+12
a)
4(x+3)
b)
4(x+12)
4.
Factorise 3x²+12x
a)
3x(x+4)
b)
3(x²+4)
5.
Factorise: 12x2 + 15x
a)
6x(2x+3)
b)
3(x2+5x)
c)
4x(3x+5)
d)
3x(4x+5)
6.
Difference of squares
Factor x2-16
a)
(x-4)(x+4)
b)
(x-4)(x-4)
c)
(x+4)(x+4)
d)
(x+4){x-(-4)}
7.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
8.

8uv - 3 v

a)

8v (u - 3)

b)

v (8u - 3)

c)

v (8u - 3v)

d)

5uv

9.

Factorise the following expression:

 4x+144x+14  

a)

 2(2x+7)2\left(2x+7\right)  

b)

 4(x+10)4\left(x+10\right)  

c)

 4(x+3)4\left(x+3\right)  

d)

 2(x+12)2\left(x+12\right)  

10.

Factorise:

 8x + 128x\ +\ 12  

a)

 4(x+2)4\left(x+2\right)  

b)

 8(x+4)8\left(x+4\right)  

c)

 4(x+3)4\left(x+3\right)  

d)

 4(2x+3)4\left(2x+3\right)  

11.

Factorise:

 6x +186x\ +18  

a)

 3(2x+6)3\left(2x+6\right)  

b)

 6(x+3)6\left(x+3\right)  

c)

 2(3x+9)2\left(3x+9\right)  

d)

 6(x+12)6\left(x+12\right)  

12.

Factorise:

 8x+328x+32  

a)

 8(x+4)8\left(x+4\right)  

b)

 4(2x+16)4\left(2x+16\right)  

c)

 2(4x+16)2\left(4x+16\right)  

d)

 4(2x+8)4\left(2x+8\right)  

13.

Factorise:  ab+4bab+4b  

a)

 a(b+4)a\left(b+4\right)  

b)

 b(a+4)b\left(a+4\right)  

c)

 ab(1+4)ab\left(1+4\right)  

d)

 b(a+4b)b\left(a+4b\right)  

14.

 6m2+16m6m^2+16m  

Factorise:

a)

 2(3m2+8m)2\left(3m^2+8m\right)  

b)

 2m(3m+8)2m\left(3m+8\right)  

c)

 2m(3m8m)2m\left(3m-8m\right)  

d)

 cannot factorisecannot\ factorise