Answer
$2x^3-4x^2+7x-9+\dfrac{6}{x+2}$
Work Step by Step
Using the long division method below, then
\begin{array}{l}\require{cancel}
(
-x^2+2x^4+5x-12
)\div(
x+2
)
\\=
2x^3-4x^2+7x-9+\dfrac{6}{x+2}
.\end{array}
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