Question

If $f$is a polynomial function and $x-4$is a factor of $f$, then$f\left(4\right)=\underline{}$.

Short answer

If $f$is a polynomial function and $x-4$is a factor of $f$, then$f\left(4\right)=0$.

Step-by-step solution

Step 1. Given information.

The given statement is,

If $f$is a polynomial function and $x-4$ is a factor of $f$, then$f\left(4\right)=\underline{}$.

Step 2. Explanation.

We know that if a polynomial is divisible by a factor $x-c$then $f\left(c\right)=0$.

Therefore in the given statement,

$f\left(4\right)=0$