Esercizio
$\frac{4x-5x^3+4x^4-5}{3-2x}$
Soluzione passo-passo
1
Dividere $4x-5x^3+4x^4-5$ per $3-2x$
$\begin{array}{l}\phantom{-2x\phantom{;}+3;}{-2x^{3}+\frac{1}{-2}x^{2}+\frac{1.5}{-2}x\phantom{;}+\frac{6.25}{-2}\phantom{;}\phantom{;}}\\-2x\phantom{;}+3\overline{\smash{)}\phantom{;}4x^{4}-5x^{3}\phantom{-;x^n}+4x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{-2x\phantom{;}+3;}\underline{-4x^{4}+6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{4}+6x^{3};}\phantom{;}x^{3}\phantom{-;x^n}+4x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{-2x\phantom{;}+3-;x^n;}\underline{-x^{3}+1.5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-x^{3}+1.5x^{2}-;x^n;}\phantom{;}1.5x^{2}+4x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{-2x\phantom{;}+3-;x^n-;x^n;}\underline{-1.5x^{2}+2.25x\phantom{;}\phantom{-;x^n}}\\\phantom{;;-1.5x^{2}+2.25x\phantom{;}-;x^n-;x^n;}\phantom{;}6.25x\phantom{;}-5\phantom{;}\phantom{;}\\\phantom{-2x\phantom{;}+3-;x^n-;x^n-;x^n;}\underline{-6.25x\phantom{;}+9.375\phantom{;}\phantom{;}}\\\phantom{;;;-6.25x\phantom{;}+9.375\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\phantom{;}4.375\phantom{;}\phantom{;}\\\end{array}$
$-2x^{3}+\frac{1}{-2}x^{2}+\frac{1.5}{-2}x+\frac{6.25}{-2}+\frac{4.375}{3-2x}$
Risposta finale al problema
$-2x^{3}+\frac{1}{-2}x^{2}+\frac{1.5}{-2}x+\frac{6.25}{-2}+\frac{4.375}{3-2x}$