Chapter 4 - Factorisation

4A Factorisation using common factors

100

Factorise: 

6x+24

6(x+4)

200

Factorise: 

12a^2+8a

4a(3a+2)

300

Factorise: 

6pq^2-21qp^2

3pq(2q-7p)

400

Factorise: 

12m^2+4mn-36n

4(3m^2+mn-9n)

500

Factorise: 

6x(2a-b)^3-9x^2(2a-b)^2

3x(2a-b)^2(4a-2b-3x)

4B Factorisation using the difference of two squares

100

Factorise: 

a^2-400

(a+20)(a-20)

200

Factorise: 

12m^2-75

3(2m-5)(2m+5)

300

Factorise: 

-36x^2+400

(20+6x)(20-6x)

400

Evaluate: 

92.6^2-7.4^2

8520

500

Factorise: 

x^4-16

(x+2)(x-2)(x^2+4)

4C Factorisation of simple quadratics

100

Factorise: 

x^2+7x+12

(x+4)(x+3)

200

Factorise: 

x^2-14x+24

(x-12)(x-2)

300

Factorise: 

x^2-7x-18

(x-9)(x+2)

400

Factorise: 

a^2-a-20

(a-5)(a+4)

500

Where is Miss Beyza from (other than Turkey)? 

(HINT: very small percentage)

Syria

4D Factorisation using perfect squares

100

Factorise using the appropriate perfect square identity:

x^2-8x+16

(x-4)^2

200

Factorise using the appropriate perfect square identity:

x^2+13x+169/4

(x+13/2)^2

300

Factorise: 

x^2-x+1/4

(x-1/2)^2

400

Factorise: 

(x+2)^2-4

(x+6)(x+2)

500

Factorise: 

18x-2x(3x+y)^2

2x(3-3x-y)(3+3x+y)

4E Quadratics with common factors

100

Factorise: 

2x^2-18x+36

2(x-3)(x-6)

200

Factorise: 

2x^2-18

2(x+3)(x-3)

300

Factorise: 

x^2/5-20

1/5(x+2)(x-2)

400

Factorise: 

7x+18-x^2

-(x-9)(x+2)

500

Factorise: 

p^2-5p+25/4-q^2

(p-5/2-q)(p-5/2+q)