Question: (a) Show that s(x) = x2 + 1 is reducible in Z2[x]. (b) Find the equivalence classes for the ring Z2[x]/(s(x)). (c) Is Z2[x]/ (s(x))

(a) Show that s(x) = x2 + 1 is reducible in Z2[x].
(b) Find the equivalence classes for the ring Z2[x]/(s(x)).
(c) Is Z2[x]/ (s(x)) an integral domain?

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