Factor 4x2 + 24x + 36. A) 4(x + 3)(x + 3)
B) 4(x + 6)(x – 6)
C) (4x + 3)(x + 3)
D) (2x – 6)(2x – 6)

Step-by-step explanation:

In order to factor this, we need to factor out a common term and then solve for x.

We can see that we can factor out a 4 from this entire equation as each term is a multiple of 4.

This leaves us with .

We can now solve for x for the expression in the parentheses, .

To solve for x, we can use the XBOX method. This tells us that:

Experimenting with some numbers gets us with 3 and 3 - 3+3 = 6 and 3*3 = 9.

Therefore, our roots will be .

Putting that back into the factorization of our original expression, that leaves us with .

Hope this helped!