Übung
$\frac{4x^{3}-7x^{2}-11x+5}{4x+5}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $4x^3-7x^2-11x+5$ durch $4x+5$
$\begin{array}{l}\phantom{\phantom{;}4x\phantom{;}+5;}{\phantom{;}x^{2}-3x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}4x\phantom{;}+5\overline{\smash{)}\phantom{;}4x^{3}-7x^{2}-11x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}4x\phantom{;}+5;}\underline{-4x^{3}-5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-5x^{2};}-12x^{2}-11x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}+5-;x^n;}\underline{\phantom{;}12x^{2}+15x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}12x^{2}+15x\phantom{;}-;x^n;}\phantom{;}4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}4x\phantom{;}+5-;x^n-;x^n;}\underline{-4x\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;-4x\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Endgültige Antwort auf das Problem
$x^{2}-3x+1$