Question

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

Answer 1

Answer:

(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).