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MATH / Consider the polynomials P(x)=x⁶−x⁵−x³−x²−x and Q(x)=x⁴−x³−x²−1. Given that z₁,z₂,z₃, and z₄ are the roots of Q(x)=0, find P(z₁)+P(z₂)+P(z₃)+P(z₄). · Discussion

Discussing Consider the polynomials P(x)=x⁶−x⁵−x³−x²−x and Q(x)=x⁴−x³−x²−1. Given that z₁,z₂,z₃, and z₄ are the roots of Q(x)=0, find P(z₁)+P(z₂)+P(z₃)+P(z₄). · MATH

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