I have be asked to factorize z^5-1
Attempt at a solution:
z-1 is a factor because 1^5-1=0
I'm not sure how to factor (z^4+z^3+z^2+z+1)
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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.
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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