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Quadratic Expressions - Expand & Factorise Harder (ax + b)(ax + b)

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Factorise the expression...


2x2 + 5x + 3

a)

(2x + 3)(x + 1)

b)

(2x - 3)(x - 1)

c)

(2x + 1)(x + 3)

d)

(2x + 5)(x + 1)

2.

Factorise the expression...


5x2 + 12x - 3

a)

(5x - 1)(x + 3)

b)

(5x - 3)(x + 1)

c)

(5x + 1)(x + 3)

d)

(5x - 1)(x - 3)

3.

Factorise the expression...


6x2 + x - 2

a)

(2x - 1)(3x + 2)

b)

(2x - 2)(3x + 1)

c)

(6x + 1)(x - 2)

d)

(6x + 2)(x - 1)

4.

Factorise the expression...


4x2 - 5x - 6

a)

(4x + 3)(x - 2)

b)

(4x + 2)(x - 3)

c)

(4x + 1)(x - 6)

d)

(4x + 6)(x - 1)

5.

Factorise the expression...


8x2 + 14x + 3

a)

(2x + 3)(4x + 1)

b)

(2x + 1)(4x + 3)

c)

(8x + 3)(x + 1)

d)

(8x + 1)(x + 3)

6.

Expand and simplify the expression...


(2x + 3)(4x - 1)

a)

8x2 + 10x - 3

b)

6x2 + 14x - 3

c)

8x2 - 2x - 3

d)

6x2 + 10x - 3

7.

Expand and simplify the expression...


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

a)

9x2 + 6x - 8

b)

9x2 + 18x - 8

c)

9x2 - 6x - 8

d)

9x2 + 6x - 6

8.

Expand and simplify the expression...


(2x - 3)(x - 3)

a)

2x2 - 9x + 9

b)

2x2 + 9x + 9

c)

2x2 - 9x - 9

d)

2x2 + 9x - 9

9.

Expand and simplify the expression...


(5x - 1)(x - 4)

a)

5x2 - 21x + 4

b)

5x2 - 19x + 4

c)

5x2 - 21x - 4

d)

5x2 - 19x - 4

10.

Expand and simplify the expression...


(3x + 2)(2x + 3)

a)

6x2 + 13x + 6

b)

6x2 + 13x + 5

c)

6x2 + 12x + 6

d)

5x2 + 13x + 5

11.

Expand and simplify the expression...


(2x - 5)(x + 6)

a)

2x2 + 7x - 30

b)

2x2 - 7x - 30

c)

2x2 - 17x - 30

d)

2x2 - 17x + 30

12.

Expand and simplify the expression...


(5x + 1)(2x + 1)

a)

10x2 + 7x + 1

b)

10x2 + 10x + 1

c)

7x2 + 7x + 1

d)

10x2 + 7x + 2