Esercizio
$\frac{\left(5x^4-4x^2+8\right)}{x^2+2}$
Soluzione passo-passo
1
Dividere $5x^4-4x^2+8$ per $x^2+2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+2;}{\phantom{;}5x^{2}\phantom{-;x^n}-14\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+2\overline{\smash{)}\phantom{;}5x^{4}\phantom{-;x^n}-4x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+2;}\underline{-5x^{4}\phantom{-;x^n}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{4}-10x^{2};}-14x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n;}\underline{\phantom{;}14x^{2}\phantom{-;x^n}+28\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}14x^{2}+28\phantom{;}\phantom{;}-;x^n;}\phantom{;}36\phantom{;}\phantom{;}\\\end{array}$
$5x^{2}-14+\frac{36}{x^2+2}$
Risposta finale al problema
$5x^{2}-14+\frac{36}{x^2+2}$