# Tricky polynomial

Author: mathforces
Problem has been solved: 47 times

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The polynomial $f (x) = ax ^ {2018} + bx ^ {2017} + cx ^ {2016}$ has real coefficients not exceeding 2019 and $f (\frac {1+ \sqrt {3} i} {2} ) = 2015 + 2019 \sqrt {3} i$. Find $f (1)$.