Difference between revisions of "1988 USAMO Problems/Problem 5"
(Created page with "==Problem== Let <math>p(x)</math> be the polynomial <math>(1-x)^a(1-x^2)^b(1-x^3)^c\cdots(1-x^{32})^k</math>, where <math>a, b, \cdots, k</math> are integers. When expanded in po...") |
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{{USAMO box|year=1988|num-b=4|after=Last Question}} | {{USAMO box|year=1988|num-b=4|after=Last Question}} | ||
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[[Category:Olympiad Algebra Problems]] | [[Category:Olympiad Algebra Problems]] | ||
Revision as of 20:44, 3 July 2013
Problem
Let 
be the polynomial 
, where 
are integers. When expanded in powers of 
, the coefficient of 
is 
and the coefficients of 
, 
, ..., 
are all zero. Find 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1988 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
