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Polynomial without 4

Author: mathforces
Problem has been solved: 40 times

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Let $ f (x) $ be a polynomial of the third degree with real coefficients such that $ | f (1) | = | f (2) | = | f (3) | = | f (5) | = | f (6) | = | f (7) | = 12 $. Find the value of $ |f (0)| $.





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