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What is the general formula to factoring x^n+1 where n is a natural number?
 one year ago
 one year ago
What is the general formula to factoring x^n+1 where n is a natural number?
 one year ago
 one year ago

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

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

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

wioBest ResponseYou've already chosen the best response.0
It'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 \(\pm i\)
 one year ago

inkyvoydBest 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.
 one year ago

inkyvoydBest ResponseYou've already chosen the best response.1
or Pis, cause of the repeated multiplication
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Depends 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.
 one year ago
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