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