Factor completely. - 3x^3+3x^2+6x

-3x (x-2) (x+1)

Step-by-step explanation:

-3x^3+3x^2+6x

Factor out the greatest common factor which is - 3x

-3x (x^2 - x - 2)

Now factor the inside term. What terms multiply together to give you - 2 and add to give you - 1

-2*1 = - 2

-2+1 = -1

-3x (x-2) (x+1)