MathDB

2004 Algebra #10

Source:

December 26, 2011

algebrapolynomialdifference of squaresspecial factorizations

Problem Statement

There exists a polynomial

P

of degree

5

with the following property: if

z

is a complex number such that

z^5+2004z=1

, then

P(z^2)=0

. Calculate the quotient

\tfrac{P(1)}{P(-1)}