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Worksheets

Expanding and Factorising Quadratics

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.
Factorise
x2 + 8x + 12
a)
(x + 3)(x + 4)
b)
(x + 6)(x + 2)
c)
(x + 4)(x + 4)
d)
(x + 1)(x + 12)
2.
Factorise
x2 + 15x + 36
a)
(x + 6)(x + 6)
b)
(x + 9)(x +4)
c)
(x + 4)(x + 9)
d)
(x + 12)(x + 3)
3.
Factorise
x2 + 8x 
a)
(x + 2)(x + 4)
b)
(x + 8)(x + 1)
c)
x(x + 8)
d)
2x(x + 4)
4.
Factorise
x2 + 4x - 12
a)
(x + 6)(x - 2) 
b)
(x - 4)(x + 2)
c)
(x - 6)(x + 2)
d)
(x - 6)(x - 2)
5.
Factorise
x2 - 6x - 16
a)
x(x - 6)
b)
(x - 8)(x - 2)
c)
(x + 2)(x - 8)
d)
(x - 4)(x - 4)
6.
Factorise
x2 - 7x + 6
a)
(x - 6)(x - 1)
b)
(x + 4)(x + 2)
c)
(x + 1)(x + 6)
d)
(x - 10)(x + 3)
7.

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)

8.

Factorise the expression:


x2 - 6x - 27

a)

(x - 9)(x - 3)

b)

(x - 9)(x + 3)

c)

(x - 3)(x + 9)

d)

(x + 3)(x + 9)

9.

Factorise the expression:


x2 - 16

a)

(x - 4)2

b)

(x - 2)(x + 8)

c)

(x + 4)(x - 4)

d)

(x - 4)(x - 4)

10.

Factorise the expression:


x2 - 121

a)

(x - 11)2

b)

(x - 12)(x + 10)

c)

(x + 11)(x - 11)

d)

(x - 10)(x + 12)

11.

Expand and simplify the following quadratic expression...


(x - 3)(x + 8)

a)

x2 + 5x - 24

b)

x2 - 5x - 24

c)

x2 + 5x + 24

d)

x2 - 5x + 24

12.

Expand and simplify the following quadratic expression...


(x - 8)(x + 8)

a)

x2 + 16x - 64

b)

x2 + 16x + 64

c)

x2 - 16x + 64

d)

x2 - 64

13.

Expand and simplify the following quadratic expression...


(x - 6)(x + 5)

a)

x2 + x - 30

b)

x2 - x - 30

c)

x2 + x + 30

d)

x2 - x + 30

14.

Factorize the following quadratic expression...


x2 + 13x + 40

a)

(x + 8)(x + 5)

b)

(x + 10)(x + 4)

c)

(x + 20)(x + 2)

d)

(x + 40)(x + 1)

15.
(3x+2)(2x +3)
a)
6x+ 6x + 6
b)
5x2 + 11x + 6
c)
6x2 + 13x + 6
d)
6x+ 13x + 5