Let C [−1, 1] be the vector space of all continuous functions over the interval −1≤x≤1. Let (f, g) be the inner product

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Let C 1 1 Be The Vector Space Of All Continuous Functions Over The Interval 1 X 1 Let F G Be The Inner Product 1 (37.71 KiB) Viewed 36 times

Let C [−1, 1] be the vector space of all continuous functions over the interval −1≤x≤1. Let (f, g) be the inner product on C [-1, 1] given by (f, g) = f f(x)g(x)dx 1 Find the cubic polynomial x³ + ax² + bx + c that is orthogonal to 1, x and x² − 3 in C [−1, 1] under the inner product (f, g) defined above.