Übung
$\frac{x^{3}-x^{2}-3x+5}{x+5}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $x^3-x^2-3x+5$ durch $x+5$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+5;}{\phantom{;}x^{2}-6x\phantom{;}+27\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+5\overline{\smash{)}\phantom{;}x^{3}-x^{2}-3x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+5;}\underline{-x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-5x^{2};}-6x^{2}-3x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n;}\underline{\phantom{;}6x^{2}+30x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{2}+30x\phantom{;}-;x^n;}\phantom{;}27x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+5-;x^n-;x^n;}\underline{-27x\phantom{;}-135\phantom{;}\phantom{;}}\\\phantom{;;-27x\phantom{;}-135\phantom{;}\phantom{;}-;x^n-;x^n;}-130\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-6x+27+\frac{-130}{x+5}$
Endgültige Antwort auf das Problem
$x^{2}-6x+27+\frac{-130}{x+5}$