Esercizio
$\frac{x^4-2x^3-2x^2-3}{-x^2-2x+1}$
Soluzione passo-passo
1
Dividere $x^4-2x^3-2x^2-3$ per $-x^2-2x+1$
$\begin{array}{l}\phantom{-x^{2}-2x\phantom{;}+1;}{-x^{2}+4x\phantom{;}-7\phantom{;}\phantom{;}}\\-x^{2}-2x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{4}-2x^{3}-2x^{2}\phantom{-;x^n}-3\phantom{;}\phantom{;}}\\\phantom{-x^{2}-2x\phantom{;}+1;}\underline{-x^{4}-2x^{3}+x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}-2x^{3}+x^{2};}-4x^{3}-x^{2}\phantom{-;x^n}-3\phantom{;}\phantom{;}\\\phantom{-x^{2}-2x\phantom{;}+1-;x^n;}\underline{\phantom{;}4x^{3}+8x^{2}-4x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}4x^{3}+8x^{2}-4x\phantom{;}-;x^n;}\phantom{;}7x^{2}-4x\phantom{;}-3\phantom{;}\phantom{;}\\\phantom{-x^{2}-2x\phantom{;}+1-;x^n-;x^n;}\underline{-7x^{2}-14x\phantom{;}+7\phantom{;}\phantom{;}}\\\phantom{;;-7x^{2}-14x\phantom{;}+7\phantom{;}\phantom{;}-;x^n-;x^n;}-18x\phantom{;}+4\phantom{;}\phantom{;}\\\end{array}$
$-x^{2}+4x-7+\frac{-18x+4}{-x^2-2x+1}$
Risposta finale al problema
$-x^{2}+4x-7+\frac{-18x+4}{-x^2-2x+1}$