Answer
$Q(x)=3x+1\quad R(x)=7x-5$
Work Step by Step
$ \left.\begin{array}{l}
\\
2x^{2}+5\ )\\
\\
\\\\
\\
\\
\\
\end{array}\right. \begin{array}{rrrrr}
3x & +1 & & & \\
\hline 6x^{3} & 2x^{2} & +22x & & \\
6x^{3} & & +15x & & \\
-- & -- & -- & & \\
& 2x^{2} & +7x & & \\
& 2x^{2} & & +5 & \\
& -- & -- & -- & \\
& & 7x & -5 &
\end{array} $
$Q(x)=3x+1\quad R(x)=7x-5$