Esercizio
$\frac{-x^4-4x^3+6x^2-7}{x^2-2}$
Soluzione passo-passo
1
Dividere $-x^4-4x^3+6x^2-7$ per $x^2-2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2;}{-x^{2}-4x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-2\overline{\smash{)}-x^{4}-4x^{3}+6x^{2}\phantom{-;x^n}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2;}\underline{\phantom{;}x^{4}\phantom{-;x^n}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{4}-2x^{2};}-4x^{3}+4x^{2}\phantom{-;x^n}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n;}\underline{\phantom{;}4x^{3}\phantom{-;x^n}-8x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{3}-8x\phantom{;}-;x^n;}\phantom{;}4x^{2}-8x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n-;x^n;}\underline{-4x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{;;-4x^{2}+8\phantom{;}\phantom{;}-;x^n-;x^n;}-8x\phantom{;}+1\phantom{;}\phantom{;}\\\end{array}$
$-x^{2}-4x+4+\frac{-8x+1}{x^2-2}$
Risposta finale al problema
$-x^{2}-4x+4+\frac{-8x+1}{x^2-2}$