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PUMaC 2015 · 代数（B 组） · 第 5 题

PUMaC 2015 — Algebra (Division B) — Problem 5

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. [ 5 ] Find the sum of the non-repeated roots of the polynomial P ( x ) = x − 5 x − 4 x − 5 x + 2 8 x + 7 x + 7. 2 na n − 1
解析
  1. [ 5 ] Find the sum of the non-repeated roots of the polynomial P ( x ) = x − 5 x − 4 x − 5 x + 2 8 x + 7 x + 7. Solution: 6 5 4 3 2 2 2 4 3 2 Note that P ( x ) = ( x − 5 x − 4 x − 5 x + x ) + (7 x + 7 x + 7) = x ( x − 5 x − 4 x − 5 x + 2 4 3 2 2 2