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