39. Let fx) = x3+2x2+ 1 and gt) = 2x2 +x +2. Then over(3) (A) fr) and gr) are irreducible (B) flr) is irreducible, but g) is not (C) g(x) is irreducible, but flu) is not (D) Neither fr) nor g(x) is irreducible
B
Because f(x) is not equal to zero for any element x in Z3. And g(x)=0 for x=2 . Reason If h(x)=0 for some x in Zp then h(x) is ir/reducible over Zp. If h(x) is not equal to zero ...
50 pts
