Open Question: Find all multiple roots of polynomial P(x) = x^7 - 6x^6 + 5x^5 + 19x^4 - 19x^3 - 5x^2 + 4x + 1?
There are no roots with multiplicity greater than one.
x = 1 or x = (1/2)(-1 +/- sqrt (5) or x = (1/2)(3 +/- sqrt (13))
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