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Similar polynomials

Author: admin
Problem has been solved: 47 times

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For some real numbers $ a $, $ b $ and $ c $ it turned out that the polynomial $ f (x) = x ^ 3 + ax ^ 2 + x + 10 $ has three different roots, which are also the roots of the polynomial $ g ( x) = x ^ 4 + x ^ 3 + bx ^ 2 + 100x + c $. What is $ f (2020) $ equal to?





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