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    OlympiadHardAlgebra10–12

    The polynomial x3−6x2+11x−6x^{3} - 6x^{2} + 11x - 6 has roots rr, ss, tt. What is r2+s2+t2r^{2} + s^{2} + t^{2}?

    O polinómio x3−6x2+11x−6x^{3} - 6x^{2} + 11x - 6 tem raízes rr, ss, tt. Quanto vale r2+s2+t2r^{2} + s^{2} + t^{2}?

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    Solution

    Step 1 of 3

    1. 1.Vieta gives r+s+t=6r+s+t = 6 and rs+rt+st=11rs+rt+st = 11.