Rational Polynomial
Author: mathforces
Problem has been solved: 25 times
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Among all the polynomials $ P $ with rational coefficients for which $P(\sqrt{2}+\sqrt{3})=\sqrt{2}$ let $ P_m $ have the least degree. What is $ P_m(100) $ equal to?
Среди всех многочленов $P$ с рациональными коэффициентами для которых $P(\sqrt{2}+\sqrt{3})=\sqrt{2}$ пусть $P_m$ имеет наименьшую степень. Чему равно $P_m(100)$?
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