Question

Factorise the following:

a) x(squared)– 12x + 32
b) x(squared) – 14x + 48
c) x(squared) - 3x + 2

Answer 1

Answer: a. (x-8)(x-4)

b. (x-8)(x-6)

c. (x-2)(x-1)

Explanation:

a. x^2-12x+32=

x^2-4x-8x+32=

x(x-4)-8(x-4)=(x-8)(x-4)

b. x^2-14x+48=

x^2-6x-8x+48=

x(x-6)-8(x-6)=(x-8)(x-6)

c. x^2-3x+2=

x^2-x-2x+2=

x(x-1)-2(x-1)=(x-2)(x-1)