Final answer to the problem
$x-2+\frac{8}{x+2}$
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Step-by-step Solution
Specify the solving method
1
Divide $x^2+4$ by $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}-2x\phantom{;};}-2x\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}2x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}2x\phantom{;}+4\phantom{;}\phantom{;}-;x^n;}\phantom{;}8\phantom{;}\phantom{;}\\\end{array}$
2
Resulting polynomial
$x-2+\frac{8}{x+2}$
Final answer to the problem
$x-2+\frac{8}{x+2}$