Polynomial without 4
Author: mathforces
Problem has been solved: 43 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)| $.
Пусть $f(x)$ многочлен третей степени с вещественными коэффициентами такой, что
$|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12$. Найдите значение $| f(0) |$.
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