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Assam Mathematics Olympiad 2023 Category III Q11

Source:

September 11, 2024

Problem Statement

Let P(x)P(x) be a polynomial of degree 1010 with non-negative integer coefficients. The remainder when P(x)P(x) is divided by (xāˆ’1)(x - 1) is 33. How many such polynomials are there ?
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