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Question

Consider the field `F = QQ(pi^3)`, which is obtained by adjoining `pi^3` to the rational numbers `QQ`. Which of the following statements is true:
A) In the field F, `pi` is algebraic of degree 1, and the polynomial `x - pi` has `pi` as a root.
B) In the field F, `pi` is algebraic of degree 3, and the polynomial `x^3 - pi^3` has `pi` as a root. ?