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prep 2

Total questions: 12

Worksheet time: 18mins

Name
Class
Date
1.

25 - a4

a)

(5 - a2)(5 + a2)

b)

52 - a2

c)

52 + a2

d)

None of above

2.

a2 - 1

a)

(a + 1)(a - 1)

b)

(a - 1)(a - 1)

c)

(a + 1)(a + 1)

d)

1

3.

Factor:

x2 - 121

a)

(x + 4)(x + 5)

b)

(x + 20)(x + 1)

c)

(x - 11)(x + 11)

d)

(x11)2\left(x-11\right)^2

4.
Factorise these
x2-12x+36
a)
(x-6)2
b)
(x-4)(x-9)
c)
(x-6)(x+6)
d)
(x+6)(x-6)
5.

Factor: x2+18x+32Factor:\ x^2+18x+32  

a)

(x+16)(x+2)(x+16)(x+2)  

b)

(x16)(x2)(x-16)(x-2)  

c)

(x+6)(x+3)\left(x+6\right)\left(x+3\right)  

d)

(x3)(x6)\left(x-3\right)\left(x-6\right)  

6.

Factorise: x2+7x18Factorise:\ x^2+7x-18  

a)

(x+9)(x2)\left(x+9\right)\left(x-2\right)  

b)

(x9)(x+2)\left(x-9\right)\left(x+2\right)  

c)

(x+6)(x3)\left(x+6\right)\left(x-3\right)  

d)

(x6)(x+3)\left(x-6\right)\left(x+3\right)  

7.

Factorise: x2+5x6Factorise:\ x^2+5x-6  

a)

(x2)(x3)\left(x-2\right)\left(x-3\right)  

b)

(x+2)(x+3)\left(x+2\right)\left(x+3\right)  

c)

(x+1)(x6)\left(x+1\right)\left(x-6\right)  

d)

(x+6)(x1)\left(x+6\right)\left(x-1\right)  

8.

Factorise: 40+3xx2Factorise:\ 40+3x-x^2  

a)

(x8)(x+5)\left(x-8\right)\left(x+5\right)  

b)

(8x)(x+5)\left(8-x\right)\left(x+5\right)  

c)

(8x)(5x)\left(8-x\right)\left(5-x\right)  

d)

(x+8)(x5)\left(x+8\right)\left(x-5\right)  

9.

Factorise: 5x2+16x+3Factorise:\ 5x^2+16x+3  

a)

(x3)(5x1)\left(x-3\right)\left(5x-1\right)  

b)

(x+1)(5x+3)\left(x+1\right)\left(5x+3\right)  

c)

undefined 

d)

(x+3)(5x1)\left(x+3\right)\left(5x-1\right)  

10.

Factorise: 14x2+9x+1Factorise:\ 14x^2+9x+1  

a)

(2x1)(7x1)\left(2x-1\right)\left(7x-1\right)  

b)

(2x+1)(7x+1)\left(2x+1\right)\left(7x+1\right)  

c)

(2x+1)(7x1)\left(2x+1\right)\left(7x-1\right)  

d)

(2x1)(7x+1)\left(2x-1\right)\left(7x+1\right)  

11.

Factorise: 6x2+7x3Factorise:\ 6x^2+7x-3  

a)

(2x+3)(3x1)\left(2x+3\right)\left(3x-1\right)  

b)

(2x+3)(3x+1)\left(2x+3\right)\left(3x+1\right)  

c)

(2x+1)(3x3)\left(2x+1\right)\left(3x-3\right)  

d)

(2x3)(3x1)\left(2x-3\right)\left(3x-1\right)  

12.

9s2259s^2–25  

a)

(3s5)(3s+5)\left(3s-5\right)\left(3s+5\right)  

b)

(3s5)(3s5)\left(3s-5\right)\left(3s-5\right)  

c)

(3s+5)(3s+5)\left(3s+5\right)\left(3s+5\right)