Answer
$-8.279 $
Work Step by Step
Remainder Theorem:
If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ .
$\left.\begin{array}{l}
0.1 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
1 & 2 & -3 & -8 \\\hline
& 0.1 & 0.21 & - 0.279 \\\hline
1 & 2.1 & - 2.79 &|\ \ \ -8.279 \end{array}$
$R(x)=P(0.1)=-8.279 $
