返回题库

HMMT 二月 2001 · ADV 赛 · 第 3 题

HMMT February 2001 — ADV Round — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Calculate the sum of the coefficients of P ( x ) if (20 x + 2 x + 1) P ( x ) = 2001 x .
解析
  1. Calculate the sum of the coefficients of P ( x ) if (20 x + 2 x + 1) P ( x ) = 2001 x . Solution: The sum of coefficients of f ( x ) is the value of f (1) for any polynomial f . 2001 Plugging in 1 to the above equation, P (1) = = 87 . 23