Answer
$5x^3-10x^2+17x-34+\dfrac{70}{x+2}$
Work Step by Step
Using the synthetic division method below, then
\begin{array}{l}\require{cancel}
(
5x^4-3x^2+2
)\div(
x+2
)
\\=
5x^3-10x^2+17x-34+\dfrac{70}{x+2}
.\end{array}
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