Esercizio
$\frac{4x^3-5x^2-11x+35}{x-2}$
Soluzione passo-passo
1
Dividere $4x^3-5x^2-11x+35$ per $x-2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}4x^{2}+3x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}4x^{3}-5x^{2}-11x\phantom{;}+35\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-4x^{3}+8x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}+8x^{2};}\phantom{;}3x^{2}-11x\phantom{;}+35\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-3x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}+6x\phantom{;}-;x^n;}-5x\phantom{;}+35\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}5x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}5x\phantom{;}-10\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}25\phantom{;}\phantom{;}\\\end{array}$
$4x^{2}+3x-5+\frac{25}{x-2}$
Risposta finale al problema
$4x^{2}+3x-5+\frac{25}{x-2}$