Question

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 $4(3x^2 + 2)$

Explanation:

Step1: Find GCF of coefficients

Factors of 12: $1,2,3,4,6,12$; Factors of 8: $1,2,4,8$. GCF = $4$.

Step2: Factor out GCF from terms

Divide each term by 4: $\frac{12x^2}{4}=3x^2$, $\frac{8}{4}=2$.

Answer:

B. $4(3x^2 + 2)$