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Question
When constructing the finite field with `p^2`
elements as `F = ZZ_p[x]"/"langle f(x) rangle`, where
f(x) is an irreducible polynomial of degree
2 over `ZZ_p`, what is the nature of the elements in
this field F:
A) The elements of F can be uniquely represented
by polynomials in `ZZ_p[x]` of degree greater than
or equal to 2.
B) The elements of F can be uniquely represented
by polynomials in `ZZ_p[x]` of degree at most 1
?
