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Question

In the construction of the finite field `F = ZZ_p[x]"/"langle f(x) rangle` with `p^2` elements, where f(x) is an irreducible polynomial of degree 2 over `ZZ_p`, what is the relationship between the field F and the base field `ZZ_p`:
A) F is a subfield of `ZZ_p`.
B) `ZZ_p` can be considered a subfield of F ?