Esercizio
$\frac{2x^4-4x^3+7x+9}{x^2-2x-1}$
Soluzione passo-passo
1
Dividere $2x^4-4x^3+7x+9$ per $x^2-2x-1$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2x\phantom{;}-1;}{\phantom{;}2x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-2x\phantom{;}-1\overline{\smash{)}\phantom{;}2x^{4}-4x^{3}\phantom{-;x^n}+7x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2x\phantom{;}-1;}\underline{-2x^{4}+4x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}+4x^{3}+2x^{2};}\phantom{;}2x^{2}+7x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2x\phantom{;}-1-;x^n;}\underline{-2x^{2}+4x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;-2x^{2}+4x\phantom{;}+2\phantom{;}\phantom{;}-;x^n;}\phantom{;}11x\phantom{;}+11\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}+2+\frac{11x+11}{x^2-2x-1}$
Risposta finale al problema
$2x^{2}+2+\frac{11x+11}{x^2-2x-1}$