Answer
$2x+5$
Work Step by Step
Given \begin{equation}
\begin{aligned}
\left(2 x^2+11 x+15\right) \div(x+3)
\end{aligned}
\end{equation} Use synthetic division.
\begin{equation}
\begin{array}{r|rrr}
-3& 2 & 11 & 15 \\
& & -6 & -15 \\
\hline & 2 & 5 & 0
\end{array}
\end{equation} The solution is \begin{equation}
\begin{aligned}
\frac{2 x^2+11 x+15}{x+3}= 2x+5
\end{aligned}
\end{equation}
