Esercizio
$\frac{13m^3+15m+6m^4-6}{2-m+2m^2}$
Soluzione passo-passo
1
Dividere $13m^3+15m+6m^4-6$ per $2-m+2m^2$
$\begin{array}{l}\phantom{\phantom{;}2m^{2}-m\phantom{;}+2;}{\phantom{;}3m^{2}+8m\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}2m^{2}-m\phantom{;}+2\overline{\smash{)}\phantom{;}6m^{4}+13m^{3}\phantom{-;x^n}+15m\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2m^{2}-m\phantom{;}+2;}\underline{-6m^{4}+3m^{3}-6m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6m^{4}+3m^{3}-6m^{2};}\phantom{;}16m^{3}-6m^{2}+15m\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2m^{2}-m\phantom{;}+2-;x^n;}\underline{-16m^{3}+8m^{2}-16m\phantom{;}\phantom{-;x^n}}\\\phantom{;-16m^{3}+8m^{2}-16m\phantom{;}-;x^n;}\phantom{;}2m^{2}-m\phantom{;}-6\phantom{;}\phantom{;}\\\phantom{\phantom{;}2m^{2}-m\phantom{;}+2-;x^n-;x^n;}\underline{-2m^{2}+m\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;;-2m^{2}+m\phantom{;}-2\phantom{;}\phantom{;}-;x^n-;x^n;}-8\phantom{;}\phantom{;}\\\end{array}$
$3m^{2}+8m+1+\frac{-8}{2-m+2m^2}$
Risposta finale al problema
$3m^{2}+8m+1+\frac{-8}{2-m+2m^2}$