Hey Vieta :D

Algebra Level 4

P(x)=(x2)(x5+2x4+x3+x2+4x+1)+(x4)(x5+2x4+x3+x2+4x+1)P(x) = (x-2)(x^5+2x^4+x^3+x^2+4x+1)+(x-4)(x^5+2x^4+x^3+x^2+4x+1)

What is the sum of the roots of P(x)=0P(x) = 0?

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