Answer
$\frac{7 x^2+38 x+17}{x+5}= 7x+3+\frac{2}{x+5}$
Work Step by Step
Given \begin{equation}
\begin{aligned}
\left(7 x^2+38 x+17\right) \div(x+5)
\end{aligned}
\end{equation} Use synthetic division. \begin{equation}
\begin{array}{r|rrr}
-5& 7 & 38 & 17 \\
& & -35 & -15 \\
\hline & 7 & 3 & 2
\end{array}
\end{equation} The solution is \begin{equation}
\begin{aligned}
\frac{7 x^2+38 x+17}{x+5}= 7 x+3+\frac{2}{x+5}
\end{aligned}
\end{equation}
