Übung
$\frac{-3x^3+8x-7}{x-1}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $-3x^3+8x-7$ durch $x-1$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{-3x^{2}-3x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}-3x^{3}\phantom{-;x^n}+8x\phantom{;}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{\phantom{;}3x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}3x^{3}-3x^{2};}-3x^{2}+8x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{\phantom{;}3x^{2}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}3x^{2}-3x\phantom{;}-;x^n;}\phantom{;}5x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n-;x^n;}\underline{-5x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{;;-5x\phantom{;}+5\phantom{;}\phantom{;}-;x^n-;x^n;}-2\phantom{;}\phantom{;}\\\end{array}$
$-3x^{2}-3x+5+\frac{-2}{x-1}$
Endgültige Antwort auf das Problem
$-3x^{2}-3x+5+\frac{-2}{x-1}$