(4) (10 points) Show that 3 is a prime element in Zg]. Find the irreducible Z8]. Specify the irre...
(4) (10 points) Show that 3 is a prime element in Zg]. Find the irreducible Z8]. Specify the irreducible factors that appear in the factorization of 9t. ation of 9i in let Prime P-(3) Thus 3 divide s Nea) ar 3 divides NC) ud we can sahat divides N(O)x possibility t, Hat bof ,, hak rosidue omod 3 Henle 9ie3 and p.3 (s prime. 3, us Sethat we are left wl oor 1 , So the only if you work mod Pest
(4) (10 points) Show that 3 is a prime element in Zg]. Find the irreducible Z8]. Specify the irreducible factors that appear in the factorization of 9t. ation of 9i in let Prime P-(3) Thus 3 divide s Nea) ar 3 divides NC) ud we can sahat divides N(O)x possibility t, Hat bof ,, hak rosidue omod 3 Henle 9ie3 and p.3 (s prime. 3, us Sethat we are left wl oor 1 , So the only if you work mod Pest