Question

use synthetic division and the remainder theorem to find p(a).
p(x)=x³+2x²−5x+3; a=2
p(a) =
(simplify your answer )

Explanation:

Step1: Set up synthetic division

Write coefficients of $P(x)$ and $a=2$:

$$\begin{array}{r|rrrr} 2 & 1 & 2 & -5 & 3 \\ \hline & & 2 & 8 & 6 \\ \hline & 1 & 4 & 3 & 9 \end{array}$$

Step2: Apply Remainder Theorem

The final value is $P(a)$.

Answer:

$9$