2019 USAMO Problems/Problem 3
Problem
Let 
be the set of all positive integers that do not contain the digit 
in their base-
representation. Find all polynomials 
with nonnegative integer coefficients such that 
whenever 
.
Solution
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
See also
| 2019 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
