Answer
$3x^2+6x+24+\dfrac{44}{x-2}$
Work Step by Step
Using the synthetic division method below, then
\begin{array}{l}\require{cancel}
(
3x^3+12x-4
)\div(
x-2
)
\\=
3x^2+6x+24+\dfrac{44}{x-2}
.\end{array}
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