Esercizio
$\frac{2x^3+9x^2+15x+9}{2x+3}$
Soluzione passo-passo
1
Dividere $2x^3+9x^2+15x+9$ per $2x+3$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+3;}{\phantom{;}x^{2}+3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+3\overline{\smash{)}\phantom{;}2x^{3}+9x^{2}+15x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+3;}\underline{-2x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}-3x^{2};}\phantom{;}6x^{2}+15x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n;}\underline{-6x^{2}-9x\phantom{;}\phantom{-;x^n}}\\\phantom{;-6x^{2}-9x\phantom{;}-;x^n;}\phantom{;}6x\phantom{;}+9\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n-;x^n;}\underline{-6x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{;;-6x\phantom{;}-9\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$x^{2}+3x+3$