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Let an be the set of real polynomials of degree at most 11. Show that S = {p 6 P3 :pt5) = p(4)} is a
Let an be the set of real polynomials of degree at most 11. Show that S = {p 6 P3 :pt5) = p(4)} is a subspace of P3. To check that you are on the right track, answer the following questions. . ls S a subset of a known vector space? . Does S contain the zero element? . ls S closed under vector addition? . ls S closed under scalar multiplication
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