Question

Factor completely, the expression: 2x^3-2x^2-12x show work please.

Answer 1

$2x^3-2x^2-12x =2x(x^2-x-6)=2x(x^2-x-2x+2x-6) =\\ \\= 2x [(x^2-3x +2x-6)]= 2x [x(x -3 ) +2(x-3) ]=\\ \\ = 2x (x -3 ) (x+2)$

Answer 2

Extract a 2x from the expression to make it
2x(x^2-x-6).
Factor out x^2-x-6:------------------>must factors must multiply to -6 and add to -1
-3 and 2 fit the criteria therefore
x^2-x-6 factors out to (x-3)(x+2).

But dont forget to put it all back together. The 2x is part of the expression so the full factored expression is:

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