MathDB

6

Part of 2024 EGMO

Problems(1)

"d"ifferent values

Source: EGMO 2024 P6

4/14/2024
Find all positive integers dd for which there exists a degree dd polynomial PP with real coefficients such that there are at most dd different values among P(0),P(1),P(2),⋯ ,P(d2−d)P(0),P(1),P(2),\cdots,P(d^2-d) .
algebrapolynomial