Answer:
(x+6)(2x+12)
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!