Answer
$3g-4$
Work Step by Step
Given \begin{equation}
\begin{aligned}
\left(3 g^2-19 g+20\right) \div(g-5)
\end{aligned}
\end{equation} Use synthetic division. \begin{equation}
\begin{array}{r|rrr}
5& 3 & -19 & 20 \\
& & 15 & -20 \\
\hline & 3 & -4 & 0
\end{array}
\end{equation} The solution is \begin{equation}
\begin{aligned}
\frac{3 g^2-19 g+20}{g-5}= 3g-4
\end{aligned}
\end{equation}
