Question

what is the factored form of 8x² + 12x?
○ 4(4x² + 3x)
○ 4x(2x + 3)
○ 8x(x + 4)
○ 8x(x² + 4)

Explanation:

Step1: Identify GCF of terms

The terms are $8x^2$ and $12x$. The greatest common factor (GCF) of 8 and 12 is 4, and the GCF of $x^2$ and $x$ is $x$. So overall GCF is $4x$.

Step2: Factor out the GCF

Divide each term by $4x$:
$\frac{8x^2}{4x} = 2x$, $\frac{12x}{4x} = 3$
So $8x^2 + 12x = 4x(2x + 3)$

Answer:

4x(2x + 3)