Esercizio
$\frac{8x^4-x^3+4x^2-2}{x^2-3}$
Soluzione passo-passo
1
Dividere $8x^4-x^3+4x^2-2$ per $x^2-3$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-3;}{\phantom{;}8x^{2}-x\phantom{;}+28\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-3\overline{\smash{)}\phantom{;}8x^{4}-x^{3}+4x^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-3;}\underline{-8x^{4}\phantom{-;x^n}+24x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-8x^{4}+24x^{2};}-x^{3}+28x^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3-;x^n;}\underline{\phantom{;}x^{3}\phantom{-;x^n}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{3}-3x\phantom{;}-;x^n;}\phantom{;}28x^{2}-3x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-3-;x^n-;x^n;}\underline{-28x^{2}\phantom{-;x^n}+84\phantom{;}\phantom{;}}\\\phantom{;;-28x^{2}+84\phantom{;}\phantom{;}-;x^n-;x^n;}-3x\phantom{;}+82\phantom{;}\phantom{;}\\\end{array}$
$8x^{2}-x+28+\frac{-3x+82}{x^2-3}$
Risposta finale al problema
$8x^{2}-x+28+\frac{-3x+82}{x^2-3}$