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1. (Theorem 20.9) Let f(1) be an irreducible polynomial over a field F and let E be a splitting field of f(c). Show that any two zeros of f(2) have the same multiplicity. In particular, we can express in the form f(0) = a(T-01)"(2 - 22)"... (1-21)" where a CF, 91,..., a are distinct elements of E.