Let p0(x), p1(x), and p2(x) be orthogonal with respect to the inner product _p(x), q(x)_

Chapter 5, Problem 2

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Let p0(x), p1(x), and p2(x) be orthogonal with respect to the inner product _p(x), q(x)_ = _ 1 1 p(x)q(x) 1 + x2 dx Use Theorem 5.7.2 to calculate p1(x) and p2(x) if all polynomials have lead coefficient 1.

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