Complex numbers lost in the typos (1 Viewer)

[leehuan]

I don't really mind if the question is left incomplete, but can someone please suggest some correction to part (ii) to make it easier for me to understand please. I can't decipher it myself

 

[Paradoxica]

Shouldn't that be a=1, and all those 1's should be replaces with z's, given it is a polynomial identity?

 

[leehuan]

Shouldn't that be a=1, and all those 1's should be replaces with z's, given it is a polynomial identity?

Would make perfect sense actually, but I doubted it on the fact that a actually appears in both LHS and RHS

 

[SimpletonPrime]

Shouldn't that be a=1, and all those 1's should be replaces with z's, given it is a polynomial identity?

I think it's ok to leave like that. But you are right, all those 1's should be replaced by z.

 

[Paradoxica]

I think it's ok to leave like that. But you are right, all those 1's should be replaced by z.

Ah yes true. Difference of powers in the general case.

I'm just so used to seeing roots of unity that I automatically register it as 1.