Esercizio
$\frac{2a^4+3a^3-9a-7}{a^2+2a-1}$
Soluzione passo-passo
1
Dividere $2a^4+3a^3-9a-7$ per $a^2+2a-1$
$\begin{array}{l}\phantom{\phantom{;}a^{2}+2a\phantom{;}-1;}{\phantom{;}2a^{2}-a\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}a^{2}+2a\phantom{;}-1\overline{\smash{)}\phantom{;}2a^{4}+3a^{3}\phantom{-;x^n}-9a\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}a^{2}+2a\phantom{;}-1;}\underline{-2a^{4}-4a^{3}+2a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2a^{4}-4a^{3}+2a^{2};}-a^{3}+2a^{2}-9a\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}a^{2}+2a\phantom{;}-1-;x^n;}\underline{\phantom{;}a^{3}+2a^{2}-a\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}a^{3}+2a^{2}-a\phantom{;}-;x^n;}\phantom{;}4a^{2}-10a\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}a^{2}+2a\phantom{;}-1-;x^n-;x^n;}\underline{-4a^{2}-8a\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;;-4a^{2}-8a\phantom{;}+4\phantom{;}\phantom{;}-;x^n-;x^n;}-18a\phantom{;}-3\phantom{;}\phantom{;}\\\end{array}$
$2a^{2}-a+4+\frac{-18a-3}{a^2+2a-1}$
Risposta finale al problema
$2a^{2}-a+4+\frac{-18a-3}{a^2+2a-1}$