Question

$-6x^3 - 3x^2$

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of the coefficients and the variable terms. For \(-6x^3\) and \(-3x^2\), the GCF of \(-6\) and \(-3\) is \(-3\), and the GCF of \(x^3\) and \(x^2\) is \(x^2\). So the overall GCF is \(-3x^2\).

Step2: Factor out the GCF

Divide each term by \(-3x^2\): \(\frac{-6x^3}{-3x^2} = 2x\) and \(\frac{-3x^2}{-3x^2} = 1\). So we get \(-3x^2(2x + 1)\).

Answer:

\(-3x^2(2x + 1)\)