Übung
$\frac{5x^3-16x+60}{x+3}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $5x^3-16x+60$ durch $x+3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}5x^{2}-15x\phantom{;}+29\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}5x^{3}\phantom{-;x^n}-16x\phantom{;}+60\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-5x^{3}-15x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-5x^{3}-15x^{2};}-15x^{2}-16x\phantom{;}+60\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}15x^{2}+45x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}15x^{2}+45x\phantom{;}-;x^n;}\phantom{;}29x\phantom{;}+60\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-29x\phantom{;}-87\phantom{;}\phantom{;}}\\\phantom{;;-29x\phantom{;}-87\phantom{;}\phantom{;}-;x^n-;x^n;}-27\phantom{;}\phantom{;}\\\end{array}$
$5x^{2}-15x+29+\frac{-27}{x+3}$
Endgültige Antwort auf das Problem
$5x^{2}-15x+29+\frac{-27}{x+3}$