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MATH / A polynomial P(x)=c₂₀₀₄x²⁰⁰⁴+c₂₀₀₃x²⁰⁰³+⋯+c₁x+c₀has real coefficients with c₂₀₀₄≠0 and 2004 distinct complex zeros z_(k)=a_(k)+b_(k)i, 1≤k≤2004 with a_(k) and b_(k) real, a₁=b₁=0, … · Discussion

Discussing A polynomial P(x)=c₂₀₀₄x²⁰⁰⁴+c₂₀₀₃x²⁰⁰³+⋯+c₁x+c₀has real coefficients with c₂₀₀₄≠0 and 2004 distinct complex zeros z_(k)=a_(k)+b_(k)i, 1≤k≤2004 with a_(k) and b_(k) real, a₁=b₁=0, … · MATH

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