< Z mod 3 < X^4-2 < Nicht irreduzibel
Zeige, dass das Polynom
X
4
−
2
∈
Z
/
(
3
)
[
X
]
{\displaystyle {}X^{4}-2\in \mathbb {Z} /(3)[X]\,}
nicht
irreduzibel
ist.
Zur Lösung
,
Alternative Lösung erstellen
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![{\displaystyle {}X^{4}-2\in \mathbb {Z} /(3)[X]\,}](../../../../I/2c2640377a399fc95388c525fbd90aed35d4eb24.svg)