Writing Let B = {p1(x), p2(x), . . . , pn(x), pn+1(x)}be a basis for Pn. Must B contain

Chapter 4, Problem 75

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Writing Let B = {p1(x), p2(x), . . . , pn(x), pn+1(x)}be a basis for Pn. Must B contain a polynomial of eachdegree 0, 1, 2, . . . , n? Explain.

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