Question

(a) Prove that (Z7, +2, X,) is a field.
(b) Show that x2 + x + 1 is irreducible over GF(2).
(a) In (Z5, +5, Xs) solve :
(x4 + 4x3 + 3x2 + 2) + (2x4 + 3x3 + 4x + 4)
and (x2 + 2x + 4).(x2 + 3x + 3)
b) Find idempotent and nilpotent element of
(Zg, +g, xg).
740
( 4 )​

Answer 1

Step-by-step explanation:

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