Partialbruchzerlegung/Zmod3/X^4 durch (X^3+X^2+2)^2/Aufgabe

a) Zeige, dass ${}X^{3}+X^{2}+2$ irreduzibel in ${}\mathbb {Z} /(3)[X]$ ist.

{\frac {X^{4}}{{\left(X^{3}+X^{2}+2\right)}^{2}}}

in

{}\mathbb {Z} /(3)(X)

.

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