They call it Newton's Sum?
Algebra
Level
4
Consider \(a,b,c\) as complex and irrational numbers which satisfy:
\(a+b+c=1\)
\(a^{2}+b^{2}+c^{2}=4\)
\(a^{3}+b^{3}+c^{3}=9\)
If \(a,b,c\) are roots of monic polynomial \(x^{3}+px^{2}+qx+r\).
Find \(p+q+r\)
Note:
Answer correctly up to three digits.
by
Akshay Yadav