Tag Archives: Polynomials

[Soln] 2013 AIME I Problem 10

2013 AIME I 10. There are nonzero integers , , , and  such that the complex number  is a zero of the polynomial . For each possible combination of  and , let  be the sum of the zeroes of .Find the sum … Continue reading

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2013 AIME I Problem 10

2013 AIME I 10. There are nonzero integers , , , and  such that the complex number  is a zero of the polynomial . For each possible combination of  and , let  be the sum of the zeroes of .Find the sum … Continue reading

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[Soln] Find f(-100)

Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)

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Find f(-100)

Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)

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[Soln] 2016 Canadian Math Olympiad Problem 3

2016 Canada MO 3. Find all polynomials with integer coefficients such that is a prime number for infinitely many integers .

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[Hints] 2016 Canadian Math Olympiad Problem 3

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2016 Canadian Math Olympiad Problem 3

2016 Canada MO 3. Find all polynomials with integer coefficients such that is a prime number for infinitely many integers .

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