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Needs to be done in matlab


The fifth Legendre polynomial is


class="ql-formula" data-value="P_5(x) = x^5 - 1.overline{1}x^3 + 0.overline{238095}x">P5(x)=x51.1x3+0.238095x


Use the root finding technique of your choice to compute all of the roots of P5(x) to within 10-7. These will be the Gaussian Quadrature nodes for n=5

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