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