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Newton's Sums

Algebra

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

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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by Eliott Collin

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