Answer
$P(5)=3$.
Work Step by Step
The remainder theorem states that when a polynomial $p(x)$ is divided by a linear polynomial $(x - a)$, then the remainder is equal to $p(a)$.
If $P(x)=2x^3-9x^2-7x+13$, find $P(5)$
$P(5)=2(5)^3-9(5)^2-7(5)+13$
$P(5)=2(125)-9(25)-7(5)+13$,
$P(5)=250-225-35+13$,
$P(5)=263-260$,
$P(5)=3$.
