Answer
$12$
Work Step by Step
Remainder Theorem:
If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ .
$\left.\begin{array}{l}
2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
1 & 3 & -7 & 6 \\\hline
& 2 & 10 & 6 \\\hline
1 & 5 & 3 &|\ \ \ 12 \end{array}$
$R(x)=P(2)=12$
