Führe in C [ X ] {\displaystyle {}{\mathbb {C} }[X]} die Division mit Rest „ P {\displaystyle {}P} durch T {\displaystyle {}T} “ für die beiden Polynome P = X 4 + i X 3 + X 2 + ( 1 − 3 i ) X + 3 {\displaystyle {}P=X^{4}+{\mathrm {i} }X^{3}+X^{2}+(1-3{\mathrm {i} })X+3} und T = X 2 + ( 1 − i ) X + 2 {\displaystyle {}T=X^{2}+(1-{\mathrm {i} })X+2} durch.
![{\displaystyle {}{\mathbb {C} }[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c156a1899277cd3bf3b7edc239bc1abafd7339a7)
