Newton's Sums

Algebra Level 2

P(x)=x3+33x2+327x+935P(x)=x^{3}+33x^{2}+327x+935

Let P(x) P(x) be a polynomial as described above with a,b,c a, b, c the roots of P(x) P(x) .

Find a2+b2+c2 a^{2}+b^{2}+c^{2} without solving P(x)=0 P(x)=0 .

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