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 :)

Printable View

- November 28th 2012, 07:07 AMImConfusedFactoring z^5-1
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 :) - November 28th 2012, 07:38 AMPlatoRe: Factoring z^5-1
- November 28th 2012, 09:42 AMzhandeleRe: Factoring z^5-1
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.