Esercizio
$\frac{3+3x+2x^2+x^3}{-5x+2}$
Soluzione passo-passo
1
Dividere $3+3x+2x^2+x^3$ per $-5x+2$
$\begin{array}{l}\phantom{-5x\phantom{;}+2;}{\frac{1}{-5}x^{2}+\frac{2.4}{-5}x\phantom{;}+\frac{3.96}{-5}\phantom{;}\phantom{;}}\\-5x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{3}+2x^{2}+3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{-5x\phantom{;}+2;}\underline{-x^{3}+0.4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+0.4x^{2};}\phantom{;}2.4x^{2}+3x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{-5x\phantom{;}+2-;x^n;}\underline{-2.4x^{2}+0.96x\phantom{;}\phantom{-;x^n}}\\\phantom{;-2.4x^{2}+0.96x\phantom{;}-;x^n;}\phantom{;}3.96x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{-5x\phantom{;}+2-;x^n-;x^n;}\underline{-3.96x\phantom{;}+1.584\phantom{;}\phantom{;}}\\\phantom{;;-3.96x\phantom{;}+1.584\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}4.584\phantom{;}\phantom{;}\\\end{array}$
$\frac{1}{-5}x^{2}+\frac{2.4}{-5}x+\frac{3.96}{-5}+\frac{4.584}{-5x+2}$
Risposta finale al problema
$\frac{1}{-5}x^{2}+\frac{2.4}{-5}x+\frac{3.96}{-5}+\frac{4.584}{-5x+2}$