Answer
$x^2-5x-2-\dfrac{6}{x-1}$
Work Step by Step
Using the synthetic division method below, then
\begin{array}{l}\require{cancel}
(
x^3-6x^2+3x-4
)\div(
x-1
)
\\=
x^2-5x-2-\dfrac{6}{x-1}
.\end{array}
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