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)#