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Consider the question in the image given. 4. Endow P2 with the inner product defined by (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1). Find

Consider the question in the image given.

4. Endow P2 with the inner product defined by (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1). Find all polynomials p E P2 of norm 1 that are orthogonal to both x and x2 simultaneously

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