Difference between revisions of "AIME 2020(MOCK) Problems"
(→Problem 2) |
(→Problem 2) |
||
| Line 6: | Line 6: | ||
==Problem 2== | ==Problem 2== | ||
| − | Let <math>K</math> be a set of polynomials <math>P(x)</math> with integral coefficients such that the roots of <math>P(x)</math> are <math>cos \frac{\pi}{7}</math>, <math>cos \frac{\pi}{11}</math>, and <math>cos \frac{\pi}{17}</math>. What is the least possible | + | Let <math>K</math> be a set of polynomials <math>P(x)</math> with integral coefficients such that the roots of <math>P(x)</math> are <math>cos \frac{\pi}{7}</math>, <math>cos \frac{\pi}{11}</math>, and <math>cos \frac{\pi}{17}</math>. What is the least possible sum of the coefficients of <math>P(x)</math>? |
Revision as of 11:10, 11 June 2020
Problem 1
Let 
be 
. What is the remainder when is divided by 
?
Problem 2
Let 
be a set of polynomials 
with integral coefficients such that the roots of are 
, 
, and 
. What is the least possible sum of the coefficients of ?
