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Legendre polynomials, P, (x), n 0,1,K , can be computed using Bonnet's recursion formula, which is defined as follows: nR(x)= (2n-1) P,-1 (x)-(n-1)P,-2 (x) n-2,

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Legendre polynomials, P, (x), n 0,1,K , can be computed using Bonnet's recursion formula, which is defined as follows: nR(x)= (2n-1) P,-1 (x)-(n-1)P,-2 (x) n-2, 3,K with P,(x)-1,P(x)-x. Write a function that takes an integer n and returns the coefficients of P,(x) in descending order of powers. Use only 1 for loop. Then use the function polyval to evaluate the Legendre polynomial of degree 8 at x 0.6

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