Esercizio
$\frac{-30x+2+3x^2+2x^3}{x-3}$
Soluzione passo-passo
1
Dividere $-30x+2+3x^2+2x^3$ per $x-3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-3;}{\phantom{;}2x^{2}+9x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-3\overline{\smash{)}\phantom{;}2x^{3}+3x^{2}-30x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-3;}\underline{-2x^{3}+6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}+6x^{2};}\phantom{;}9x^{2}-30x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n;}\underline{-9x^{2}+27x\phantom{;}\phantom{-;x^n}}\\\phantom{;-9x^{2}+27x\phantom{;}-;x^n;}-3x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-3-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}-9\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}-9\phantom{;}\phantom{;}-;x^n-;x^n;}-7\phantom{;}\phantom{;}\\\end{array}$
$2x^{2}+9x-3+\frac{-7}{x-3}$
Risposta finale al problema
$2x^{2}+9x-3+\frac{-7}{x-3}$