Esercizio
$\frac{4x^5+2x^3-3x\:+1}{x^2-2}$
Soluzione passo-passo
1
Dividere $4x^5+2x^3-3x+1$ per $x^2-2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2;}{\phantom{;}4x^{3}\phantom{-;x^n}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{2}-2\overline{\smash{)}\phantom{;}4x^{5}\phantom{-;x^n}+2x^{3}\phantom{-;x^n}-3x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2;}\underline{-4x^{5}\phantom{-;x^n}+8x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{5}+8x^{3};}\phantom{;}10x^{3}\phantom{-;x^n}-3x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n;}\underline{-10x^{3}\phantom{-;x^n}+20x\phantom{;}\phantom{-;x^n}}\\\phantom{;-10x^{3}+20x\phantom{;}-;x^n;}\phantom{;}17x\phantom{;}+1\phantom{;}\phantom{;}\\\end{array}$
$4x^{3}+10x+\frac{17x+1}{x^2-2}$
Risposta finale al problema
$4x^{3}+10x+\frac{17x+1}{x^2-2}$