Question

5 multiple choice 1 point which expression is equivalent to $-24x^2 + 18x$? $-6x(4x + 3)$ $-6x(4x - 3)$ $6x(4x + 3)$ $6x(4x - 3)$

Explanation:

Step1: Identify greatest common factor

The GCF of $-24x^2$ and $18x$ is $-6x$.

Step2: Factor out the GCF

Divide each term by $-6x$:
$\frac{-24x^2}{-6x} = 4x$, $\frac{18x}{-6x} = -3$
So the factored form is $-6x(4x - 3)$.

Step3: Verify by expanding

Expand $-6x(4x - 3)$:
$-6x \cdot 4x + (-6x) \cdot (-3) = -24x^2 + 18x$

Answer:

B. $-6x (4x - 3)$