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Find a polynomial q of order 4 such that (p,q) = [ p(x)q(x) dx = 0 1 for any polynomial p of order at


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Find a polynomial q of order 4 such that (p,q) = [" p(x)q(x) dx = 0 1 for any polynomial p of order at most 3. Verify that your result holds. Can the same polynomial q satisfy for any polynomial p of order 4? (p,q) = 0

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