Esercizio
$\frac{\left(-5x^4+7x^3+33x^{2\:}-29x+6\right)}{\left(5x-2\right)}$
Soluzione passo-passo
1
Dividere $-5x^4+7x^3+33x^2-29x+6$ per $5x-2$
$\begin{array}{l}\phantom{\phantom{;}5x\phantom{;}-2;}{-x^{3}+x^{2}+7x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}5x\phantom{;}-2\overline{\smash{)}-5x^{4}+7x^{3}+33x^{2}-29x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{\phantom{;}5x\phantom{;}-2;}\underline{\phantom{;}5x^{4}-2x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}5x^{4}-2x^{3};}\phantom{;}5x^{3}+33x^{2}-29x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-2-;x^n;}\underline{-5x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-5x^{3}+2x^{2}-;x^n;}\phantom{;}35x^{2}-29x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-2-;x^n-;x^n;}\underline{-35x^{2}+14x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-35x^{2}+14x\phantom{;}-;x^n-;x^n;}-15x\phantom{;}+6\phantom{;}\phantom{;}\\\phantom{\phantom{;}5x\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{\phantom{;}15x\phantom{;}-6\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}15x\phantom{;}-6\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\\\end{array}$
Risposta finale al problema
$-x^{3}+x^{2}+7x-3$