Chapter 4.2, Problem 14SB

In Problems 11-20, use the Remainder Theorem to find the remainder when $f\left(x\right)$ is divided by $x\text{ - }c$. Then use the Factor Theorem to determine whether $x\text{ - }c$ is a factor of $f\left(x\right)$.

14. $f\left(x\right)\text{ = 4}{x}^4\text{ - 15}{x}^2\text{ - 4}$; $x\text{ - 2}$