Question

on completely.
$-3x^3 - x$

Explanation:

Step1: Factor out the GCF

Identify the greatest common factor (GCF) of $-3x^3$ and $-x$, which is $-x$, and factor it out.
$-3x^3 - x = -x(3x^2 + 1)$

Step2: Check for further factorization

The quadratic $3x^2 + 1$ has no real roots (since $3x^2 + 1 = 0$ gives $x^2 = -\frac{1}{3}$, which has no real solutions), so it cannot be factored further over the real numbers.

Answer:

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