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