Esercizio
$\frac{2a^4-a^3-21a^2+7a+4}{2a^2+5a-4}$
Soluzione passo-passo
1
Dividere $2a^4-a^3-21a^2+7a+4$ per $2a^2+5a-4$
$\begin{array}{l}\phantom{\phantom{;}2a^{2}+5a\phantom{;}-4;}{\phantom{;}a^{2}-3a\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}2a^{2}+5a\phantom{;}-4\overline{\smash{)}\phantom{;}2a^{4}-a^{3}-21a^{2}+7a\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2a^{2}+5a\phantom{;}-4;}\underline{-2a^{4}-5a^{3}+4a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2a^{4}-5a^{3}+4a^{2};}-6a^{3}-17a^{2}+7a\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}2a^{2}+5a\phantom{;}-4-;x^n;}\underline{\phantom{;}6a^{3}+15a^{2}-12a\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6a^{3}+15a^{2}-12a\phantom{;}-;x^n;}-2a^{2}-5a\phantom{;}+4\phantom{;}\phantom{;}\\\phantom{\phantom{;}2a^{2}+5a\phantom{;}-4-;x^n-;x^n;}\underline{\phantom{;}2a^{2}+5a\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}2a^{2}+5a\phantom{;}-4\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$a^{2}-3a-1$