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PUMaC 2016 · 代数（A 组） · 第 1 题

PUMaC 2016 — Algebra (Division A) — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. for all complex numbers x . Suppose P is the polynomial in S of maximal degree such 0 P that P (1) | 2016. Find P (10). 0 0
解析
  1. We have a + a + a = 4, a + a + a = 7, a + a + a = 10, and a = 8000. Thus, the 2 3 4 5 6 7 8 9 10 1 answer is 8021 . Problem written by Eric Neyman.