Answer
$4x+5$
Work Step by Step
Given \begin{equation}
\begin{aligned}
\left(4 x^2+17 x+15\right) \div(x+3)
\end{aligned}
\end{equation} Use synthetic division.
\begin{equation}
\begin{array}{r|rrr}
-3& 4 & 17 & 15 \\
& & -12 & -15 \\
\hline & 4 & 5 & 0
\end{array}
\end{equation} The solution is \begin{equation}
\begin{aligned}
\frac{4 x^2+17 x+15}{x+3}= 4x+5
\end{aligned}
\end{equation}
