Answer
$Q(x)=x-1,\quad R(x)=5$
Work Step by Step
$\left.\begin{array}{l}
\\
x-2\ )\\
\\
\\
\\
\\
\\
\\
\end{array}\right. \left.\begin{array}{rrrrrr}
x & -1 & & & \\
\hline x^{2} & -3x & +7 & & \\
x^{2} & -2x & & & \\
-- & -- & & & \\
& -x & +7 & & \\
& -x & +2 & & \\
& -- & -- & & \\
& & 5 & &
\end{array}\right.$
$Q(x)=x-1,\quad R(x)=5$