Esercizio
$\frac{y^6}{y-10}$
Soluzione passo-passo
1
Dividere $y^6$ per $y-10$
$\begin{array}{l}\phantom{\phantom{;}y\phantom{;}-10;}{\phantom{;}y^{5}+10y^{4}+100y^{3}+1000y^{2}+10000y\phantom{;}+100000\phantom{;}\phantom{;}}\\\phantom{;}y\phantom{;}-10\overline{\smash{)}\phantom{;}y^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}y\phantom{;}-10;}\underline{-y^{6}+10y^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-y^{6}+10y^{5};}\phantom{;}10y^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}y\phantom{;}-10-;x^n;}\underline{-10y^{5}+100y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-10y^{5}+100y^{4}-;x^n;}\phantom{;}100y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}y\phantom{;}-10-;x^n-;x^n;}\underline{-100y^{4}+1000y^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-100y^{4}+1000y^{3}-;x^n-;x^n;}\phantom{;}1000y^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}y\phantom{;}-10-;x^n-;x^n-;x^n;}\underline{-1000y^{3}+10000y^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;-1000y^{3}+10000y^{2}-;x^n-;x^n-;x^n;}\phantom{;}10000y^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}y\phantom{;}-10-;x^n-;x^n-;x^n-;x^n;}\underline{-10000y^{2}+100000y\phantom{;}\phantom{-;x^n}}\\\phantom{;;;;-10000y^{2}+100000y\phantom{;}-;x^n-;x^n-;x^n-;x^n;}\phantom{;}100000y\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}y\phantom{;}-10-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-100000y\phantom{;}+1000000\phantom{;}\phantom{;}}\\\phantom{;;;;;-100000y\phantom{;}+1000000\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}1000000\phantom{;}\phantom{;}\\\end{array}$
$y^{5}+10y^{4}+100y^{3}+1000y^{2}+10000y+100000+\frac{1000000}{y-10}$
Risposta finale al problema
$y^{5}+10y^{4}+100y^{3}+1000y^{2}+10000y+100000+\frac{1000000}{y-10}$