Here's the question you clicked on:
eliassaab
What is the general form of a polynomial p(x) such that that\[ p(x^2)=p(x)^2\]
Darn, I went to take a drink of OJ and Avinash wrote it first.
lol ok i l make up for that
You're too nice, Avinash! :)
thanks i guess :)
or rather \[\left( f(x)\right) ^n=x^n\]
@eliassaab how do we can prove that only root of polynomial is 0?
Apart 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...
i 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
@eliassaab thank u sir for the nice problems u put up