X^3+xy^4+cy^6/C/Faktorzerlegung/Aufgabe

Zeige, dass das Polynom ${}X^{3}+XY^{4}+cY^{6}$ ( ${}c\in \mathbb {C}$ fixiert)

in drei irreduzible Faktoren der Form

{}X-\alpha _{j}Y^{2}

zerfällt.

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