[Solution] Consider the inner product on P_2 given by < p, q>=∫_0^1 p(x) q(x) d x. Find the orthogonal complement of the span of x^2-1,


Question: Consider the inner product on \(P_{2}\) given by \(\langle p, q\rangle=\int_{0}^{1} p(x) q(x) d x\). Find the orthogonal complement of the span of \(\left\{x^{2}-1, x^{2}+1\right\}\)

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