Answer
3
Work Step by Step
The Remainder Theorem states that
when P(x) is divided by the linear divisor x-c, the
remainder is the constant P(c) . So one way to evaluate a polynomial
function P at c is to use synthetic division to divide P(x)
by x- c and observe the value of the remainder.
Use synthetic division as shown in the figure, and we find the remainder to be 3,
which means that $P(5)=3$