Find the dimension of each. (a) The space of cubic polynomials p(x) such that p(7) = 0
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(a) The space of cubic polynomials p(x) such that p(7) = 0
(b) The space of cubic polynomials p(x) such that p(7) = 0 and p(5) = 0
(c) The space of cubic polynomials p(x) such that p(7) = 0, p(5) = 0, and p(3) = 0
(d) The space of cubic polynomials p(x) such that p(7) = 0, p(5) = 0, p(3) = 0, and p(1) = 0
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