Answer
$\frac{3 x^2+17 x+25}{x+4}= 3 x+5+\frac{5}{x+4}$
Work Step by Step
Given \begin{equation}
\begin{aligned}
\left(3 x^2+17 x+25\right) \div(x+4)
\end{aligned}
\end{equation} Use synthetic division. \begin{equation}
\begin{array}{r|rrr}
-4& 3 & 17 & 25 \\
& & -12 & -20 \\
\hline & 3 & 5 & 5
\end{array}
\end{equation} The solution is \begin{equation}
\begin{aligned}
\frac{3 x^2+17 x+25}{x+4}= 3 x+5+\frac{5}{x+4}
\end{aligned}
\end{equation}
