Esercizio
$\frac{12m^3+5m^2+13m+14}{3m+2}$
Soluzione passo-passo
1
Dividere $12m^3+5m^2+13m+14$ per $3m+2$
$\begin{array}{l}\phantom{\phantom{;}3m\phantom{;}+2;}{\phantom{;}4m^{2}-m\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}3m\phantom{;}+2\overline{\smash{)}\phantom{;}12m^{3}+5m^{2}+13m\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3m\phantom{;}+2;}\underline{-12m^{3}-8m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-12m^{3}-8m^{2};}-3m^{2}+13m\phantom{;}+14\phantom{;}\phantom{;}\\\phantom{\phantom{;}3m\phantom{;}+2-;x^n;}\underline{\phantom{;}3m^{2}+2m\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3m^{2}+2m\phantom{;}-;x^n;}\phantom{;}15m\phantom{;}+14\phantom{;}\phantom{;}\\\phantom{\phantom{;}3m\phantom{;}+2-;x^n-;x^n;}\underline{-15m\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{;;-15m\phantom{;}-10\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}4\phantom{;}\phantom{;}\\\end{array}$
$4m^{2}-m+5+\frac{4}{3m+2}$
Risposta finale al problema
$4m^{2}-m+5+\frac{4}{3m+2}$