Answer
$2x^3-6x^2+7x-18+\dfrac{17x-51}{x^2-3}$
Work Step by Step
Using the long division method below, then
\begin{array}{l}\require{cancel}(
2x^5-6x^4+x^3-4x+3
)\div(
x^2-3
)\\=
2x^3-6x^2+7x-18+\dfrac{17x-51}{x^2-3}
.\end{array}
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