Let Pn be the set of real polynomials of degree at most n. Show that is a subspace of P7. S = {p P7: p(-1)=P(-4)} To che

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Let Pn Be The Set Of Real Polynomials Of Degree At Most N Show That Is A Subspace Of P7 S P P7 P 1 P 4 To Che 1 (15.04 KiB) Viewed 46 times

Let Pn be the set of real polynomials of degree at most n. Show that is a subspace of P7. S = {p P7: p(-1)=P(-4)} To check that you are on the right track, answer the following questions. • Is S a subset of a known vector space? Yes • Does S contain the zero element? Yes • Is S closed under vector addition? Yes • Is S closed under scalar multiplication? Yes