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eliassaab Group Title

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

  • 2 years ago
  • 2 years ago

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  1. A.Avinash_Goutham Group Title
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    x^n

    • 2 years ago
  2. Limitless Group Title
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    Darn, I went to take a drink of OJ and Avinash wrote it first.

    • 2 years ago
  3. jlvm Group Title
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    \[f(x)=x\]

    • 2 years ago
  4. A.Avinash_Goutham Group Title
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    lol ok i l make up for that

    • 2 years ago
  5. Limitless Group Title
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    You're too nice, Avinash! :)

    • 2 years ago
  6. A.Avinash_Goutham Group Title
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    thanks i guess :)

    • 2 years ago
  7. jlvm Group Title
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    or rather \[\left( f(x)\right) ^n=x^n\]

    • 2 years ago
  8. brittneyy18rm Group Title
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    x^n

    • 2 years ago
  9. mukushla Group Title
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    @eliassaab how do we can prove that only root of polynomial is 0?

    • 2 years ago
  10. mukushla Group Title
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    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...

    • 2 years ago
  11. mukushla Group Title
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    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

    • 2 years ago
  12. mukushla Group Title
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    @eliassaab thank u sir for the nice problems u put up

    • 2 years ago
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