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Roots of polynomial are cos 72 degrees and cos 144 degrees.

Source: Vietnam MO 1982 P1

March 17, 2011
algebrapolynomialcalculusintegrationtrigonometryVietaalgebra proposed

Problem Statement

Determine a quadric polynomial with intergral coefficients whose roots are cos⁡72∘\cos 72^{\circ} and cos⁡144∘.\cos 144^{\circ}.
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