(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that [itex]x+a[/itex] is a factor of [itex]x^{n}+a^{n}[/itex]for all odd n.

3. The attempt at a solution

(1) Assume that [itex]x+a[/itex] is a factor of [itex]x^{n}+a^{n}[/itex]for all odd n. This implies that when [itex]x^{n}+a^{n}[/itex] is divided by [itex]x+a[/itex] the remainder is zero.

I don't know - is this a sensible 1st step?

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# Homework Help: Proof that a polynomial is a factor

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