Übung
$\left(3x^{3}+13x^{2}-13x+2\right):\left(3x-2\right)$
Schritt-für-Schritt-Lösung
1
Teilen Sie $3x^3+13x^2-13x+2$ durch $3x-2$
$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}-2;}{\phantom{;}x^{2}+5x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}-2\overline{\smash{)}\phantom{;}3x^{3}+13x^{2}-13x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}-2;}\underline{-3x^{3}+2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}+2x^{2};}\phantom{;}15x^{2}-13x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-2-;x^n;}\underline{-15x^{2}+10x\phantom{;}\phantom{-;x^n}}\\\phantom{;-15x^{2}+10x\phantom{;}-;x^n;}-3x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}-2-;x^n-;x^n;}\underline{\phantom{;}3x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3x\phantom{;}-2\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Endgültige Antwort auf das Problem
$x^{2}+5x-1$