Final Answer
$2x+1+\frac{-7x-3}{x^2-x+3}$
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Step-by-step Solution
Specify the solving method
1
Divide $2x^3-x^2-2x$ by $x^2-x+3$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-x\phantom{;}+3;}{\phantom{;}2x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-x\phantom{;}+3\overline{\smash{)}\phantom{;}2x^{3}-x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}-x\phantom{;}+3;}\underline{-2x^{3}+2x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{-2x^{3}+2x^{2}-6x\phantom{;};}\phantom{;}x^{2}-8x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}-x\phantom{;}+3-;x^n;}\underline{-x^{2}+x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;-x^{2}+x\phantom{;}-3\phantom{;}\phantom{;}-;x^n;}-7x\phantom{;}-3\phantom{;}\phantom{;}\\\end{array}$
2
Resulting polynomial
$2x+1+\frac{-7x-3}{x^2-x+3}$
Final Answer
$2x+1+\frac{-7x-3}{x^2-x+3}$