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Question
If `alpha` is transcendental over F but algebraic
over `F(beta)`, which of the following is true about
the coefficients of the polynomial `p(x) in F(beta)[x]`
such that `p(alpha) = 0`:
A) The coefficients of p(x) are elements in F.
B) The coefficients of p(x) are rational functions in `beta`
with coefficients in F
?
