Free Printable Factorisation which contains common binomial factor

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Factorisation which contains common binomial factor

Total questions: 20

Worksheet time: 2hrs 40mins

Name

Class

Date

1.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

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

2.

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)

3.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

4.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

5.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

6.

Factor the Polynomial

12x³- 9x² + 4x - 3

a)

(3x² + 1) (4x - 3)

b)

(3x² - 1) (4x + 3)

c)

(4x² + 1) (3x - 3)

d)

(4x² - 1) (3x + 3)

7.

Factor the Polynomial

3x³- 4x² + 9x - 12

a)

(x² + 3) (3x - 4)

b)

(x² - 3) (3x + 4)

c)

(3x² + 3) (x - 4)

d)

(3x² - 3) (x + 4)

8.

Factor the Polynomial

x³- x² + 2x - 2

a)

(x² + 2) (x - 1)

b)

(x² - 2) (x + 1)

c)

(x² + 1) (x - 2)

d)

(x² - 1) (x + 2)

9.

Factor the Polynomial

5x³- 10x² + 3x - 6

a)

(5x² + 3) (x - 2)

b)

(5x² - 3) (x + 2)

c)

(x² + 3) (5x - 2)

d)

(x² - 3) (5x + 2)

10.

Factor the Polynomial

8x³- 64x² + x - 8

a)

(8x² + 1) (x - 8)

b)

(8x² - 1) (x + 8)

c)

(x² + 1) (8x - 8)

d)

(x² - 1) (8x + 8)

11.

Factor the Polynomial

5x² + 45x

a)

5x (x + 9)

b)

x (5x + 9)

c)

x (5x + 45)

d)

9x (x + 5)

12.

Factor the Polynomial

16x² + 48x

a)

16x (x + 3)

b)

8x (2x + 6)

c)

4x (4x + 12)

d)

2x (8x + 24)

13.

Factor by grouping:

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)

14.

Factor:

4p² + 8p + 3p + 6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p+3)(p+2)

d)

(4p²+8p)(3p+6)

15.

Factor: 4b³ + b² + 8b + 2

a)

(b + 2)(4b + 1)

b)

(b² + 2)(4b + 1)

c)

(b + 2)(b + 1)

d)

(b³ + 2)(4b + 1)

16.

Factor:

x³ + 7x² + 2x + 14

a)

(x²+2)(x+7)

b)

(x²+2)(x+7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

17.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

18.

Factorise $x(x+2)+8(x+2)$ fully.

a)

$(x+8)(x+2)$

b)

$x^2+10x+16$

c)

$(8+x)(2-x)$

d)

I don't know 😓

19.

Factorise $x(x-5)-3(x-5)$ fully.

a)

$(-3-x)(5-x)$

b)

$x^2-8x+15$

c)

$(x-5)(x-3)$

d)

I don't know 😓

20.

Factorise $8ab(x-5)-12b(x-5)$ fully.

a)

$-4b(2a-3)(5-x)$

b)

$8abx-40ab+48bx$

c)

$-4b(2a-3)(x-5)$

d)

I don't know 😓

100 %

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