Answer
$6x+5$
Work Step by Step
Given \begin{equation}
\left(6 x^2+29 x+20\right) \div(x+4).
\end{equation} Use long division. $$
\begin{array}{r}
6x+5\phantom{)} \\
x+4{\overline{\smash{\big)}\,6 x^2+29 x+20\phantom{)}}}\\
\underline{-~\phantom{(}(6x^2+24x)\phantom{-b)}}\\
0+5x+20\phantom{)}\\
\underline{-~\phantom{()}(5x+20)}\\
0\phantom{)}
\end{array}
$$ The solution is \begin{equation}
\frac{6 x^2+29 x+20}{x+4}=6x+5.
\end{equation}
