Difference between revisions of "Mock AIME I 2015 Problems/Problem 10"
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Revision as of 14:48, 12 February 2017
For convenience, let's use instead of . Define a polynomial such that . Let and . Then, our polynomial becomes . Note that we want to compute .
From the given information, we know that the coefficient of the term is , and we also know that , or in other words, . By Newton's Sums (since we are given ), we also find that . Solving this system, we find that . Thus, , so our final answer is .