Answer
$x^2-5x-23-\dfrac{41}{x-2}$
Work Step by Step
Using the synthetic division below, then
\begin{array}{l}\require{cancel}\dfrac{
x^3-7x^2-13x+5
}{
x-2
}\\=
x^2-5x-23-\dfrac{41}{x-2}
.\end{array}
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