Very Necessarily Large Powered Polynomial

Algebra

Consider a polynomial function P(x)=4x79−4x78+x77+7x76P(x)=4x^{79} - 4x^{78} + x^{77} + 7x^{76}

If MM denotes the sum of the squares of its roots, and NN denotes the sum of the cubes of its roots, what is M×NM\times{N}?

Mikael Marcondes by Mikael Marcondes
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