Question: Let a and b be two distinct numbers. Assume that n 2 and let Un = {f(x) in Pn | f(a) = 0 =

Let a and b be two distinct numbers. Assume that n ≥ 2 and let
Un = {f(x) in Pn | f(a) = 0 = f(b)}.
Show that dim Un = n - 1.

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