Find a basis for each of these subspaces of the space P3 of cubic polynomials. (a) The
Question:
(a) The subspace of cubic polynomials p(x) such that p(7) = 0
(b) The subspace of polynomials p(x) such that p(7) = 0 and p(5) = 0
(c) The subspace of polynomials p(x) such that p(7) = 0, p(5) = 0, and p(3) = 0
(d) The space of polynomials p(x) such that p(7) = 0, p(5) = 0, p(3) = 0, and p(1) = 0
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a The subspace is this a 0 a 1 x a 2 x 2 a 3 x 3 a 0 7a 1 49a 2 343a 3 0 Rewriting a 0 7a 1 49a 2 34...View the full answer
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