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Omni-MATH / The polynomial f(x)=x²⁰⁰⁷+17x²⁰⁰⁶+1 has distinct zeroes r₁,…,r₂₀₀₇. A polynomial P of degree 2007 has the property that P(r_(j)+(1)/(r_(j)))=0 for j=1,…,2007. Determine the value o… · Discussion

Discussing The polynomial f(x)=x²⁰⁰⁷+17x²⁰⁰⁶+1 has distinct zeroes r₁,…,r₂₀₀₇. A polynomial P of degree 2007 has the property that P(r_(j)+(1)/(r_(j)))=0 for j=1,…,2007. Determine the value o… · Omni-MATH

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