Esercizio
$\frac{2x^4-3x^3-9x^2-11x+33}{x-2}$
Soluzione passo-passo
1
Dividere $2x^4-3x^3-9x^2-11x+33$ per $x-2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}2x^{3}+x^{2}-7x\phantom{;}-25\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}2x^{4}-3x^{3}-9x^{2}-11x\phantom{;}+33\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-2x^{4}+4x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{4}+4x^{3};}\phantom{;}x^{3}-9x^{2}-11x\phantom{;}+33\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-x^{3}+2x^{2}-;x^n;}-7x^{2}-11x\phantom{;}+33\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}7x^{2}-14x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}7x^{2}-14x\phantom{;}-;x^n-;x^n;}-25x\phantom{;}+33\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{\phantom{;}25x\phantom{;}-50\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}25x\phantom{;}-50\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-17\phantom{;}\phantom{;}\\\end{array}$
$2x^{3}+x^{2}-7x-25+\frac{-17}{x-2}$
Risposta finale al problema
$2x^{3}+x^{2}-7x-25+\frac{-17}{x-2}$