Answer
$4x+5$
Work Step by Step
Given \begin{equation}
\left(12 x^2+23 x+10\right) \div(3 x+2)
\end{equation} Use long division. $$
\begin{array}{r}
4x+5\phantom{)} \\
3 x+2{\overline{\smash{\big)}\,12 x^2+23 x+10\phantom{)}}}\\
\underline{-~\phantom{(}(12x^2+8x)\phantom{-b)}}\\
0+15x+10\phantom{)}\\
\underline{-~\phantom{()}(15x+10)}\\
0\phantom{)}
\end{array}
$$ The solution is \begin{equation}
\frac{12 x^2+23 x+10}{3 x+2}=4x+5
\end{equation}
