Ononot — Consider the inner product \langle p, q \rangle = \int{-1}^{

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Vectors & Spaceshard

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Consider the inner product $\langle p, q \rangle = \int_{-1}^{1} p(x)q(x)w(x) \, dx$ where $w(x) = \frac{1}{\sqrt{1-x^2}}$ . Which of the following pairs of polynomials are orthogonal under this inner product?