Can anyone please help with thisLet F ? L be a normal extension, let ? ? L, let {?1, . . . , ?r} be the orbit of ? under Gal(L/F), and let h = ?r (x ? ?i). Show that there is an integer m such that ? (x ? ?(?)) = h m (note that we are not assuming that F is the fixed field of Gal(L/F), so we are not claiming that h ? F[x]).

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