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 \( P(x)=0 \).
by
Eliott Collin