Answer
$-273$
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).
$\left.\begin{array}{l}
-2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
6 & 0 & 10 & 0 & 1 & 1 \\\hline
&-12 & 24 & -68 & 136 & -274 \\\hline
6 &-12 & 34 & -68 & 137 &|\ \ \ -273 \end{array}$
$R(x)=P(-2)=-273$
