Question

Factorise x²+14x+24.

Answer 1

x²+14x+24 = (x+2)(x+12)

Explanation:

We need to factorize the given expression i.e. x²+14x+24.

We find two integers such that their sum is 14 and product is 24.

x²+14x+24 = x²+12x+2x+24

=x(x+12)+2(x+12)

= (x+2)(x+12)

Hence, the factors of the given expression is (x+2)(x+12).