Esercizio
$\frac{8m-22m^2-12+m^4}{m-2}$
Soluzione passo-passo
1
Dividere $8m-22m^2-12+m^4$ per $m-2$
$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}-2;}{\phantom{;}m^{3}+2m^{2}-18m\phantom{;}-28\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}-2\overline{\smash{)}\phantom{;}m^{4}\phantom{-;x^n}-22m^{2}+8m\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}-2;}\underline{-m^{4}+2m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-m^{4}+2m^{3};}\phantom{;}2m^{3}-22m^{2}+8m\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n;}\underline{-2m^{3}+4m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-2m^{3}+4m^{2}-;x^n;}-18m^{2}+8m\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}18m^{2}-36m\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}18m^{2}-36m\phantom{;}-;x^n-;x^n;}-28m\phantom{;}-12\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{\phantom{;}28m\phantom{;}-56\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}28m\phantom{;}-56\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-68\phantom{;}\phantom{;}\\\end{array}$
$m^{3}+2m^{2}-18m-28+\frac{-68}{m-2}$
Risposta finale al problema
$m^{3}+2m^{2}-18m-28+\frac{-68}{m-2}$