Answer
$6$
Work Step by Step
Remainder Theorem:
If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ .
$\left.\begin{array}{l}
1/2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
2 & 9 & 1 \\\hline
& 1 & 5 \\\hline
2 & 10 &|\ \ \ 6 \end{array}$
$R(x)=P(1/2)=6$
