Question: Problem 7. What is the highest degree polynomial for which the Gauss quadrature formula (5/9)f(-sqrt(3/5))+(8/9)f(0)+(5/9)f(sqrt(3/5)) approximates f(x)dx without error? Prove your answer by integrating monomials

Problem 7. What is the highest degree polynomial for which the Gauss quadrature formula (5/9)f(-sqrt(3/5))+(8/9)f(0)+(5/9)f(sqrt(3/5)) approximates Problem 7. What is the highest degree polynomial for which the Gauss f(x)dx without error? Prove your answer by integrating monomials and applying the quadrature formula to them

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