Question

Factor 4x2 + 24x + 36.

Answer 1

Answer:

$\huge\boxed{\text{A) } 4(x+3)(x+3) }$

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 $4(x^2+ 6x + 9)$.

We can now solve for x for the expression in the parentheses, $x^2 +6x + 9$.

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

• When the two roots are added, they will equal b (in this case, 6)
• When the two roots are multiplied, they will equal c (in this case 9)

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

Therefore, our roots will be $(x+3)(x+3)$.

Putting that back into the factorization of our original expression, that leaves us with $4(x+3)(x+3)$.

Hope this helped!