Difference between revisions of "AIME 2020(MOCK) Problems"
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==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}{ | + | 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 |
Revision as of 21:41, 26 May 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