Übung
$\frac{2x^5+31x^3-22x^2+65x-55}{2x^2+5}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $2x^5+31x^3-22x^2+65x-55$ durch $2x^2+5$
$\begin{array}{l}\phantom{\phantom{;}2x^{2}+5;}{\phantom{;}x^{3}\phantom{-;x^n}+13x\phantom{;}-11\phantom{;}\phantom{;}}\\\phantom{;}2x^{2}+5\overline{\smash{)}\phantom{;}2x^{5}\phantom{-;x^n}+31x^{3}-22x^{2}+65x\phantom{;}-55\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x^{2}+5;}\underline{-2x^{5}\phantom{-;x^n}-5x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x^{5}-5x^{3};}\phantom{;}26x^{3}-22x^{2}+65x\phantom{;}-55\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x^{2}+5-;x^n;}\underline{-26x^{3}\phantom{-;x^n}-65x\phantom{;}\phantom{-;x^n}}\\\phantom{;-26x^{3}-65x\phantom{;}-;x^n;}-22x^{2}\phantom{-;x^n}-55\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x^{2}+5-;x^n-;x^n;}\underline{\phantom{;}22x^{2}\phantom{-;x^n}+55\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}22x^{2}+55\phantom{;}\phantom{;}-;x^n-;x^n;}\\\end{array}$
Endgültige Antwort auf das Problem
$x^{3}+13x-11$