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Let a>0, and let P(x) be a polynomial with integer coefficients such that P(1) = P(3) = P(5) = P(7) = a, and P(2) = P(4) = P(6) = P(8) = -a. What is the smallest possible value of a?

 Sep 15, 2019
 #1
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The smallest possible value of a is 105.

 Nov 27, 2019

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