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Vectors & Spaceshard
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Find the dimension of the subspace of PnP_nPn​ consisting of polynomials p(x)p(x)p(x) such that ∫01p(x)dx=0\int_0^1 p(x) dx = 0∫01​p(x)dx=0 and p(0)=0p(0) = 0p(0)=0.