I have be asked to factorize z^5-1 Attempt at a solution: z-1 is a factor because 1^5-1=0 So (z-1)(z^4+z^3+z^2+z+1) I'm not sure how to factor (z^4+z^3+z^2+z+1) Help please
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Originally Posted by ImConfused I have be asked to factorize z^5-1 This amounts to finding the five fifth roots of one. Let's agree that . Then are the roots. Thus .
You might want to locate the five roots on the unit circle. Remember DeMoivre's theorem? That might help you get a more intuitive grasp of it.
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