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anonymous
 3 years ago
What is the general form of a polynomial p(x) such that that\[ p(x^2)=p(x)^2\]
anonymous
 3 years ago
What is the general form of a polynomial p(x) such that that\[ p(x^2)=p(x)^2\]

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Darn, I went to take a drink of OJ and Avinash wrote it first.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol ok i l make up for that

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You're too nice, Avinash! :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0or rather \[\left( f(x)\right) ^n=x^n\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@eliassaab how do we can prove that only root of polynomial is 0?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Apart from 0 complex numbers with a = 1 are only possible roots but i cant cancel them. it seems easier than the other problems but i dony know...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i think its trivial because there r infinite complex numbers with a = 1 and if one of them is root then the others must be too and this is not true because a polynomial can only have a finite number of roots

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@eliassaab thank u sir for the nice problems u put up
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