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 \(M\times{N}\)?

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