Answer
$2159$
Work Step by Step
Remainder Theorem:
If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ .
Important: zeros for missing powers of P(x).
$\left.\begin{array}{l}
3 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
1 & 0 & 0 & 0 & 0 & -3 & 0 & - 1 \\\hline
& 3 & 9 & 27 & 81 & 243 & 720 & 2160 \\\hline
3 &3 & 9 & 27 & 81 & 240 & 720 &|\ \ \ 2159 \end{array}$
$R(x)=P(3)=2159$
