Answer
$2x^{4}+9x^{3}+6x^{2}+11x+12$
Work Step by Step
$ \begin{array}{lllllll}
& & & 2x^{3} & +x^{2} & +2x & +3\\
& & & & & x & +4\\
& & & & -- & -- & --\\
& & & 8x^{3} & +4x^{2} & +8x & +12\\
& & 2x^{4} & +x^{3} & +2x^{2} & +3x & \\
\hline & & & & & & \\
& & 2x^{4} & +9x^{3} & +6x^{2} & +11x & +12
\end{array} \qquad \begin{array}{l}
.\\
.\\
.\\
\leftarrow 4(2x^{3}+x^{2}+2x+3)\\
\leftarrow x(2x^{3}+x^{2}+2x+3)\\
\\
\leftarrow\text{combine }
\end{array}$