Answer
$-7$
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).
$\left.\begin{array}{l}
-2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
1 & 2 & 0 & -7 \\\hline
& -2 & 0 & 0 \\\hline
1 & 0 & 0 &|\ \ \ -7 \end{array}$
$R(x)=P(-2)=-7$