Very Necessarily Large Powered Polynomial
Algebra
Level
4
Consider a polynomial function \(P(x)=4x^{79} - 4x^{78} + x^{77} + 7x^{76}\)
If \(M\) denotes the sum of the squares of its roots, and \(N\) denotes the sum of the cubes of its roots, what is \(M\times{N}\)?
by
Mikael Marcondes