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

Question

1232 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-27T01:44:43

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

#-2x^3-2x^2+12x#

We remove the first factor that is common to all terms.

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

We further factorise the terms in brackets.

#-2x(x^2+3x-2x-6)#

#-2x[x(x+3)-2(x+3)]#

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