How do you factor completely 2x^3+2x^2-12x?

1 Answer
Jul 27, 2016

2x(x+3)(x-2)

Explanation:

To factor an algebraic expression means to find the algebraic numbers which when multiplied together will yield the expression.

In this case the most obvious common factor is 2x. So you can rewrite the expression as a product of:

2x * (x^2+x-6)

but you can factorise (x^2+x-6) further into (x+3)(x-2)