Übung
$-5x+2+3x^{4}\text{entre}3x^{2}+2$
Schritt-für-Schritt-Lösung
1
Teilen Sie $-5x+2+3x^4$ durch $3x^2+2$
$\begin{array}{l}\phantom{\phantom{;}3x^{2}+2;}{\phantom{;}x^{2}\phantom{-;x^n}-\frac{2}{3}\phantom{;}\phantom{;}}\\\phantom{;}3x^{2}+2\overline{\smash{)}\phantom{;}3x^{4}\phantom{-;x^n}\phantom{-;x^n}-5x\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{2}+2;}\underline{-3x^{4}\phantom{-;x^n}-2x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{4}-2x^{2};}-2x^{2}-5x\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}+2-;x^n;}\underline{\phantom{;}2x^{2}\phantom{-;x^n}+\frac{4}{3}\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}2x^{2}+\frac{4}{3}\phantom{;}\phantom{;}-;x^n;}-5x\phantom{;}+\frac{10}{3}\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-\frac{2}{3}+\frac{-5x+\frac{10}{3}}{3x^2+2}$
Endgültige Antwort auf das Problem
$x^{2}-\frac{2}{3}+\frac{-5x+\frac{10}{3}}{3x^2+2}$