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Assam Mathematics Olympiad 2023 Category III Q15

Source:

September 11, 2024

Problem Statement

Let f(x)f(x) be a polynomial of degree 33 with real coefficients satisfying ∣f(x)∣=12|f(x)| = 12 for x=1,2,3,5,6,7x = 1, 2, 3, 5, 6, 7. Find ∣f(0)∣|f(0)|.
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