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inkyvoyd
 2 years ago
What is the general formula to factoring x^n+1 where n is a natural number?
inkyvoyd
 2 years ago
What is the general formula to factoring x^n+1 where n is a natural number?

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inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1just a general thought question, also I am going to bed so you might want to disregard this one

inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1but bonus points if you can use full mathematical symbols!!! it'd be such a great learning experience for me :)

inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1also, some sort of hint for the dedicated, you could probably reformulate this problem in terms of the nth roots of unity

wio
 2 years ago
Best ResponseYou've already chosen the best response.0It's easier to think of it as \[ x^n = 1 \]So we have two cases. Either \(n\) is odd, and the roots are just \(1\) or \(n\) is even, and the roots are \(\pm i\)

inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1@wio , so starting with that I could probably write the solution in terms of 2 sigmas (one for n is odd and one for n is even)? I think I"l try to do this one tomorrow actually. GOod practice for someone like me. THanks guys.

inkyvoyd
 2 years ago
Best ResponseYou've already chosen the best response.1or Pis, cause of the repeated multiplication

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Depends on how you want to factor it. It does have roots that are complex, but it doesn't have real roots, so you can't factorize it.
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