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Factorising Quadratics

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Factorise the expression:


x2 + x - 6

a)

(x + 3)(x - 2)

b)

(x + 2)(x - 3)

c)

(x + 6)(x - 1)

d)

(x + 1)(x - 6)

2.

Factorise the expression:


x2 + 9x + 20

a)

(x + 4)(x + 5)

b)

(x - 4)(x - 5)

c)

(x + 3)(x + 6)

d)

(x - 3)(x - 6)

3.

Factorise the expression:


x2 - 7x + 12

a)

(x + 3)(x + 4)

b)

(x - 3)(x - 4)

c)

(x - 3)(x + 4)

d)

(x + 3)(x - 4)

4.

Factorise the expression:


x2 - 16

a)

(x - 4)2

b)

(x - 2)(x + 8)

c)

(x + 4)(x - 4)

d)

(x - 4)(x - 4)

5.
Factorise
x2 + 8x 
a)
(x + 2)(x + 4)
b)
(x + 8)(x + 1)
c)
x(x + 8)
d)
2x(x + 4)
6.

Select the two brackets needed to factorise...

 x2x30x^2-x-30 

a)

 (x+5)\left(x+5\right)  

b)

 (x+3)\left(x+3\right)  

c)

 (x+6)\left(x+6\right)  

d)

 (x3)\left(x-3\right)  

e)

 (x6)\left(x-6\right)  

7.
3x- 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
8.
a)
A
b)
B
c)
C
d)
D
9.
Simplify:
a)
x(x-5)/(x+5)(x-5)
b)
x/(x-5)
c)
x/(x+5)
d)
(x+5)/x
10.
Simplify:
a)
4(x-3)/(x-7)
b)
4(x+3)/(x+7)
c)
4(x+3)(x-7)
d)
4(x-3)/(x+7)