Answer
$100$
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).
$\left.\begin{array}{l}
-3 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
-2 & 7 & 40 & 0 & -7 & 10 & 112 \\\hline
& 6 & -39 & -3 & 9 & -6 & -12 \\\hline
-2 & 13 & 1 & -3 & 2 & 4 &|\ \ \ 100 \end{array}$
$R(x)=P(-3)=100$