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Which expression is the result of factoring the expression below by taking out its greatest common factor?

12x^(2)+8=?
Choose 1 answer:
(A)
2(6x+4)
(B)
4(3x^(2)+2)
(c)
2(6x^(2)+4)
(D)
4(3x+2)

Which expression is the result of factoring the expression below by taking out its greatest common factor? $\newline$ $12x^{2}+8=$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $2(6x+4)$ $\newline$ (B) $4(3x^{2}+2)$ $\newline$ (C) $2(6x^{2}+4)$ $\newline$ (D) $4(3x+2)$

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Factor quadratics

Full solution

Q. Which expression is the result of factoring the expression below by taking out its greatest common factor?

\newline

12x^{2}+8=

?

\newline

Choose

1

answer:

\newline

(A)

2(6x+4)

\newline

(B)

4(3x^{2}+2)

\newline

(C)

2(6x^{2}+4)

\newline

(D)

4(3x+2)

Identify GCF: First, we need to identify the greatest common factor (GCF) of the terms in the expression $12x^2 + 8$ . The factors of $12$ are $1, 2, 3, 4, 6,$ and $12$ . The factors of $8$ are $1, 2, 4,$ and $8$ . The greatest common factor of $12$ and $8$ is $4$ .
Divide by GCF: Now, we divide each term in the expression by the GCF, which is $4$ . $12x^2$ divided by $4$ is $3x^2$ , and $8$ divided by $4$ is $2$ .
Factor out GCF: After factoring out the GCF, we rewrite the expression as the product of the GCF and the resulting terms. $\newline$ The factored expression is $4(3x^2 + 2)$ .

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