Let V = P(¹) be the vector space consisting of linear polynomials, p(x) = ax + b, and (p, q) = ²^xp(x)q(x)dx be an inner product on V. (a) (b) Find all polynomials p € V that are orthogonal to p* (x) = x. Use part (a) to construct an orthonormal basis of V.

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