Difference between revisions of "2019 USAMO Problems/Problem 6"
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Revision as of 17:43, 5 January 2020
Problem
Find all polynomials 
with real coefficients such that ![\[\frac{P(x)}{yz}+\frac{P(y)}{zx}+\frac{P(z)}{xy}=P(x-y)+P(y-z)+P(z-x)\]](http://latex.artofproblemsolving.com/2/1/b/21b97a1d7f99072ab6e0a4d493fbfa30f7e7d32a.png)
holds for all nonzero real numbers 
satisfying 
.
Solution
See also
| 2019 USAMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
