Esercizio
$\frac{2x^3-x^2-31x+35}{2x-7}$
Soluzione passo-passo
1
Dividere $2x^3-x^2-31x+35$ per $2x-7$
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}-7;}{\phantom{;}x^{2}+3x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}-7\overline{\smash{)}\phantom{;}2x^{3}-x^{2}-31x\phantom{;}+35\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}-7;}\underline{-2x^{3}+7x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{3}+7x^{2};}\phantom{;}6x^{2}-31x\phantom{;}+35\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-7-;x^n;}\underline{-6x^{2}+21x\phantom{;}\phantom{-;x^n}}\\\phantom{;-6x^{2}+21x\phantom{;}-;x^n;}-10x\phantom{;}+35\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}-7-;x^n-;x^n;}\underline{\phantom{;}10x\phantom{;}-35\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}10x\phantom{;}-35\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$x^{2}+3x-5$