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Hi, how to prove S is a subspace of P9 and what does p(-8) mean? Let Pn be the set of real polynomials of degree

Hi, how to prove S is a subspace of P9 and what does p(-8) mean?

Let Pn be the set of real polynomials of degree at most n. Show that S = {pe Pg : P(-8) = p(3) = 0} is a subspace of Pg

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