Answer:
[tex]\huge\boxed{\text{A) } 4(x+3)(x+3) }[/tex]
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 [tex]4(x^2+ 6x + 9)[/tex].
We can now solve for x for the expression in the parentheses, [tex]x^2 +6x + 9[/tex].
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 [tex](x+3)(x+3)[/tex].
Putting that back into the factorization of our original expression, that leaves us with [tex]4(x+3)(x+3)[/tex].
Hope this helped!
