MathDB

11

Part of 2023 Assam Mathematics Olympiad

Problems(1)

Assam Mathematics Olympiad 2023 Category III Q11

Source:

9/11/2024
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 ?