Question: Let a, b, and c be distinct real numbers. Show that (p(x), q(x)) = p(a)q (a) + p(b)q(b) + p (c)q(c) defines an inner product

Let a, b, and c be distinct real numbers. Show that
(p(x), q(x)) = p(a)q (a) + p(b)q(b) + p (c)q(c)
defines an inner product on P2.

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