Free Printable factorisation

1.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

2.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Can not be factorized

d)

( x - 20) ( x + 20)

3.

m²+2mx+x²

a)

(m+x)

b)

(m+x)²

4.

$\ \ \ the\ factors\ of\ 3m^2+9m+6$ are

a)

(m + 1) (m + 2)

b)

3(m + 1) (m + 2)

c)

6(m + 1) (m + 2)

d)

9(m + 1) (m + 2)

5.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

6.

The factorization of $12a^2b+15ab^2\$ is

a)

$3ab\left(4a+5b\right)$

b)

$3a^2b\left(4a+5b\right)$

c)

$3ab^2\left(4a+5b\right)$

d)

$3a^2b^2\left(4a+5b\right)$

7.

Choose the correct answer:
The factorisation of 25x²y - 5xy is

a)

5xy (5x - 1)

b)

5xy (5x + 1)

c)

5xy (5x + 5)

d)

5xy (x - y)

8.

Choose the correct answer:
The factors of a⁴ - b⁴ is _____

a)

(a² + b²) (a + b) (a - b)

b)

(a² + b²) (a² + b²)

c)

(a² - b²) (a² - b²)

d)

None of these

9.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

10.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

11.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

12.

Identify the common factors of

13m²y⁵-39my³-26y²

a)

13my²

b)

13y²

c)

13m²y⁵

13.

Factorise

(a+3)(a+1)-4(a+1)

a)

(a+1)(a+3-4)

b)

(a+1)(a-1)

c)

(a-1)(a-1)

14.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

15.

The factors of 9x – 18x² are __________________

a)

9(x – 2x)

b)

9x(1 – 2x)

c)

-9x

d)

9x(1 – 3x)

16.

FACTORISE

x²-11x+30

a)

(x-6)(x-5)

b)

(x-6)(x+5)

c)

(x-6)(x+5)

d)

IMPOSIBLE

17.

Factorise: 21w²z - 77wx

a)

3w (7wz + 11x)

b)

7w (3wz - 11x)

c)

21(w²x - 77x)

d)

xw (21wz - 11x)

18.

a)

2a ( a+ b ) / 3

b)

2a² ( a - b ) / 9

19.

a)

63 a ²

b)

63 a ³

c)

cannot be determined

20.

a)

$6x^2\left(x-3\right)$

b)

$x^2\left(\ x\ -\ 3\ \right)$

c)

$x^{3\ \ }\left(x^2-3\right)$

d)

$x^{3\ }\left(\ x\ ^3\ -\ 3\right)$

21.

a)

$x^2-49$

b)

$x\ -49$

c)

cant be simplified

22.

a)

100 abc

b)

200 abc

c)

200 ( a - b ) c

d)

100 ( a - b ) c

23.

(a)

24.

(a)

25.

(a)

factorisation

Total questions: 25

Worksheet time: 1hrs 25mins

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