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PUMaC 2008 · 组合（B 组） · 第 6 题

PUMaC 2008 — Combinatorics (Division B) — Problem 6

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. (4 points) Find the sum of the values of x for which ( ) ( ) ( ) ( ) x x x x − + − · · · + = 0 . 0 1 2 2008
解析
  1. Find the sum of the values of x for which ( ) ( ) ( ) ( ) x x x x − + − · · · + = 0 . 0 1 2 2008 ( ANS: 2017036. The numbers n with 1 < n < 2008 satisfy that, as, for those n , we have that the n sum is (1 − 1) . Moreover, that is it, as the sum is a 2008 degree polynomial and we have provided 2008 roots. CB: AL, ACH)