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The MATLAB script file M_polyroots.m is to compute all the roots with multiplicities of any given polynomials. Let a given polynomial p(x) be expressed as p(x) = x^9 +7x^8 +12x^7 -12x^6 -42x^5 -6x^4 +44x^3 +20x^2 -15x -9 = (x +3)^2 * (x +1)^4 * (x -1)^3 = (x^2 +2x -3)^2 * (x +1)^3 * (x^2 -1)It...