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Factorisation of Ploynomials

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Factorise

 16x22516x^2-25  

a)

(4x+5) (4x+5)

b)

(4x-5) (4x-5)

c)

(4x+5) (4x-5)

2.

Factorise 14x+714x+7  

a)

 7(2x+1)7\left(2x+1\right)  

b)

 7(2x)7\left(2x\right)  

c)

 14(x+7)14\left(x+7\right)  

d)

 14(x+2)14\left(x+2\right)  

3.

Factors of m² - n² are

a)

m - n , m + n

b)

n - m , n + m

c)

m, n

d)

none of these

4.

 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)  

5.

Factorise: x2+7x+6Factorise:\ x^2+7x+6  

a)

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

b)

(x+1)(x+6) 

c)

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

d)

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

6.

Factorise 



  6x7+3x4 9x36x^7+3x^{4\ }-9x^3  

a)

3x3(2x4+x 3)3x^3\left(2x^4+x\ -3\right)

b)

3x2(2x5 + 2x 3)3x^2\left(2x^{5\ }+\ 2x\ -3\right)_{ }

c)

3x(2x5 +x +3)3x\left(2x^{5\ }+x\ +3\right)

7.

 a3b87a10b4+2a5b2a^3b^8-7a^{10}b^4+2a^5b^2  = _________________

a)

 a2b3(b47a4b3 +2a2)a^2b^3\left(b^4-7a^4b^{3\ }+2a^2\right)  

b)

 a3b2(b67a7b2+2a2)a^3b^2\left(b^6-7a^7b^2+2a^2\right)  

c)

 a3b3(b3+7a2b3 2a2)a^3b^3\left(b^3+7a^2b^3\ -2a^2\right)  

8.

What is the highest common factor of 48x2and 32x3?

a)

8x2

b)

16x2

c)

16x

d)

96x3

9.

Factorise xy - ab + bx -ay

a)

(y+b) (x-a)

b)

(x+a) (y-b)

c)

(x-a) (y-b)

d)

(x-b) (y-a)

10.

Factorise

 x2  x + 14x^2\ -\ x\ +\ \frac{1}{4}  

a)

 (x12)(x+12)\left(x-\frac{1}{2}\right)\left(x+\frac{1}{2}\right)  

b)

 (x12)(x12)\left(x-\frac{1}{2}\right)\left(x-\frac{1}{2}\right)  

c)

 (x+12)(x+12)\left(x+\frac{1}{2}\right)\left(x+\frac{1}{2}\right)  

d)

none of these