Factor completely : (x^2+x-6) (2x^2+4x)

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

Step-by-step explanation:

First, start by factoring (x²+x-6).

Find 2 numbers that multiply to - 6 and add to get 1. This will be 3 and - 2.

So, (x²+x-6) will factor into (x+3) (x-2)

Then, factor (2x²+4x).

You can factor out 2x because both terms can be divided by that.

You will be left with 2x (x+2), which cannot be factored anymore.

Combine all the factors to get (x+3) (x-2) (2x) (x+2).