Thread: Eisenstein Criterium

Investigate if f is irreducible in and :

i)
ii)

Thanks!!!

Originally Posted by roporte

i)
ii)

Irreducibility in Z and Q are equivalent by Gauss' lemma. Now in (i) let p=3 then p divides -6,9,-15 by p^2 does not divide -15 and so it is irreducible. In (ii) let p=2 then p divides 6 and 6 but p^2 does not divide 6.