Free Printable factorisation

1.

what are methods for factorisation?

a)

common factor

b)

using identities

c)

regrouping

d)

all of these

2.

$factorise\ \ \ 10x^2-18x^3+14x^4$

a)

$2x^2\left(7x^2-9x+5\right)$

b)

$2x^2\left(7x^2+9x+5\right)$

c)

$2x^2\left(7x^2-9x\times5\right)$

d)

$2x^2\left(7x^2+9x\ \right)$

3.

$factorise\ \ \ \ \ \ x^2+8x+16$

a)

$\left(x+2\right)^2$

b)

$\left(x+3\right)^3$

c)

$\left(x+4\right)^3$

d)

$\left(x+4\right)^2$

4.

$\left(x+a\right)\left(x+b\right)=x^2+a+b\times x+ab$

a)

true

b)

false

c)

cannot be determined

5.

factorise $z^2-y^2$

a)

$z\times z-y\times y$

b)

$z+y\times z-y$

c)

$cannot\ be\ simplified$

d)

$\left(z+y\right)\left(z-y\right)$

6.

$factorise\ z^2-4z-12$

a)

$\left(z+2\right)\left(z+6\right)$

b)

$\left(z-6\right)\left(z+2\right)$

c)

$\left(6-z\right)\left(z-6\right)$

d)

$none\ of\ these$

7.

$4y^2-12y+9$

a)

$4y^2+12y+9$

b)

$\left(2y\times3\right)^2$

c)

$\left(2y+3\right)^2$

d)

none of these

8.

factorise $m^4-256$

a)

$\left(m^2+16\right)\left(m^2-16\right)$

b)

$\left(m+4\right)\left(m-4\right)$

c)

$\left(m^2+4\right)\left(m^2-4\right)$

d)

$\left(m-4\right)\left(m+4\right)\left(m^2+16\right)$

9.

am^2+bm^2+bn^2+an^2

a)

$\left(m^2+n^2\right)\left(a+b\right)$

b)

$\left(m^2+n^2\right)\left(a-b\right)$

c)

$\left(m^2+n^2\right)\left(a+c\right)$

d)

$\left(m^2-n^2\right)\left(a+b\right)$

10.

smallest common factor of any number is

a)

0

b)

2

c)

1

d)

none of these

factorisation

Total questions: 10

Worksheet time: 9mins

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