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Math Help - Irreducibility of polynomials help

  1. #1
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    Irreducibility of polynomials help

    HI i need help for this question

    prove that,for every positive integer n,there are infinitely many polynomials of degree n in Z[x] that are irreducible in Q.


    thx
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  2. #2
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    Quote Originally Posted by math11 View Post
    HI i need help for this question

    prove that,for every positive integer n,there are infinitely many polynomials of degree n in Z[x] that are irreducible in Q.


    thx
    x^n - p where p is prime.
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