Question: (a) If f(x) = x4 - 16, find its roots and factorization in Q[x]. (b) Answer part (a) for f(x) R[a], (c) Answer part

(a) If f(x) = x4 - 16, find its roots and factorization in Q[x].
(b) Answer part (a) for f(x) ∈ R[a],
(c) Answer part (a) for f(x) ∈ C[x],
(d) Answer parts (a), (b), and (c) for f(x) = x4 - 25.

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