Esercizio
$\frac{12x^4+7x^2-15}{x^2-2}$
Soluzione passo-passo
1
Dividere $12x^4+7x^2-15$ per $x^2-2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2;}{\phantom{;}12x^{2}\phantom{-;x^n}+31\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-2\overline{\smash{)}\phantom{;}12x^{4}\phantom{-;x^n}+7x^{2}\phantom{-;x^n}-15\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2;}\underline{-12x^{4}\phantom{-;x^n}+24x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-12x^{4}+24x^{2};}\phantom{;}31x^{2}\phantom{-;x^n}-15\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n;}\underline{-31x^{2}\phantom{-;x^n}+62\phantom{;}\phantom{;}}\\\phantom{;-31x^{2}+62\phantom{;}\phantom{;}-;x^n;}\phantom{;}47\phantom{;}\phantom{;}\\\end{array}$
$12x^{2}+31+\frac{47}{x^2-2}$
Risposta finale al problema
$12x^{2}+31+\frac{47}{x^2-2}$