The problem asks us to factor the polynomial $x^2 - 4xy - xz$ if possible. If it is not possible to factor it, we must identify that the polynomial is prime.

1. Problem Description

The problem asks us to factor the polynomial $x^2 - 4xy - xz$ if possible. If it is not possible to factor it, we must identify that the polynomial is prime.

2. Solution Steps

We can try to factor out the greatest common factor (GCF) from all the terms in the polynomial.

The terms are $x^2$, $-4xy$, and $-xz$.

The variable $x$ is present in all terms.

So, we factor out $x$ from each term.

$x^2 - 4xy - xz = x(x - 4y - z)$

3. Final Answer

$x^2 - 4xy - xz = x(x - 4y - z)$