Mathematics: 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)

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Factor 4x2 + 24x + 36. A) 4(x + 3)(x + 3) B) 4(x - id422436433410264452, morgan4411

travorissteele822

16.03.2022

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

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!

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LuchaPug

12.07.2020

you answered my question with a bunch of random letters so fh3

TYSM FOR POINTS

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