Übung
$\frac{3x^3-x^2+2}{x+2}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $3x^3-x^2+2$ durch $x+2$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+2;}{\phantom{;}3x^{2}-7x\phantom{;}+14\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+2\overline{\smash{)}\phantom{;}3x^{3}-x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+2;}\underline{-3x^{3}-6x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}-6x^{2};}-7x^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n;}\underline{\phantom{;}7x^{2}+14x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}7x^{2}+14x\phantom{;}-;x^n;}\phantom{;}14x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+2-;x^n-;x^n;}\underline{-14x\phantom{;}-28\phantom{;}\phantom{;}}\\\phantom{;;-14x\phantom{;}-28\phantom{;}\phantom{;}-;x^n-;x^n;}-26\phantom{;}\phantom{;}\\\end{array}$
$3x^{2}-7x+14+\frac{-26}{x+2}$
Endgültige Antwort auf das Problem
$3x^{2}-7x+14+\frac{-26}{x+2}$