Esercizio
$\frac{5x^3+10x^2-9x+18}{x+2}$
Soluzione passo-passo
1
Dividere $5x^3+10x^2-9x+18$ per $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}5x^{2}\phantom{-;x^n}-9\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}5x^{3}+10x^{2}-9x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-5x^{3}-10x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{3}-10x^{2};}-9x\phantom{;}+18\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}9x\phantom{;}+18\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}9x\phantom{;}+18\phantom{;}\phantom{;}-;x^n;}\phantom{;}36\phantom{;}\phantom{;}\\\end{array}$
$5x^{2}-9+\frac{36}{x+2}$
Risposta finale al problema
$5x^{2}-9+\frac{36}{x+2}$