For what values of n is the polynomial 1 + x^2 + x^4 + ... + x^(2n -2) divisible by 1 + x + x^2 + ... + x^(n - 1)?

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- July 14th 2008, 06:31 AMfardeen_genChallenging question on geometric progression?
For what values of n is the polynomial 1 + x^2 + x^4 + ... + x^(2n -2) divisible by 1 + x + x^2 + ... + x^(n - 1)?

^ - Raised to - July 14th 2008, 06:48 AMmr fantastic