Question

What is the factorization of the polynomial below

Answer 1

Answer:

2(x+6)²

Step-by-step explanation:

Answer 2

Answer:

(x+6)(2x+12)

Step-by-step explanation:

First, because a>1, you have to multiply c by a, which gives you 144. Now, you need to find factors of 144 that add to 24. Those factors would be 12 and 12. Now, you expand the equation:

2x^2+12x+12x+72

Now, you factor the first two terms and last two terms:

The GCF of 2x and 12x is 2x, so divide by 2x

2x(x+6)

The GCF of 12 and 72 is 12, so divide by 12

12(x+6)

The two parenthesis match, so they are one term. All that's left to do is factor the terms outside the parenthesis, and you get:

(x+6)(2x+12)

Hope this helped!