Esercizio
$\frac{4x^4-5x^3-2x^2+3x-1}{x^2-2x-1}$
Soluzione passo-passo
1
Dividere $4x^4-5x^3-2x^2+3x-1$ per $x^2-2x-1$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2x\phantom{;}-1;}{\phantom{;}4x^{2}+3x\phantom{;}+8\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-2x\phantom{;}-1\overline{\smash{)}\phantom{;}4x^{4}-5x^{3}-2x^{2}+3x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2x\phantom{;}-1;}\underline{-4x^{4}+8x^{3}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{4}+8x^{3}+4x^{2};}\phantom{;}3x^{3}+2x^{2}+3x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2x\phantom{;}-1-;x^n;}\underline{-3x^{3}+6x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{3}+6x^{2}+3x\phantom{;}-;x^n;}\phantom{;}8x^{2}+6x\phantom{;}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2x\phantom{;}-1-;x^n-;x^n;}\underline{-8x^{2}+16x\phantom{;}+8\phantom{;}\phantom{;}}\\\phantom{;;-8x^{2}+16x\phantom{;}+8\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}22x\phantom{;}+7\phantom{;}\phantom{;}\\\end{array}$
$4x^{2}+3x+8+\frac{22x+7}{x^2-2x-1}$
Risposta finale al problema
$4x^{2}+3x+8+\frac{22x+7}{x^2-2x-1}$