# Newton's Sums

Algebra Level 2

$\large P(x)=x^{3}+33x^{2}+327x+935$

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

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

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