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Math Help - Irreducibility

  1. #1
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    Irreducibility

    If  f(x) = \sum_{j=0}^{n}a_{j}x^j\in\mathbb{Z}[x] is such that f(10) is prime and 0\le a_{j} \le 10^{15}a_{n} for j\in\left\{0, 1, \ldots n-1\right\}, prove that f(x) is irreducible.
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  2. #2
    Senior Member Tinyboss's Avatar
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    What have you tried? How far did you get?
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  3. #3
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    Quote Originally Posted by Tinyboss View Post
    What have you tried? How far did you get?
    Well, I've tried many things, and none seem to be working! Any suggestions?
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  4. #4
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    Proved it after many failed attempts. I'd post it in here, but I doubt anyone would be interested, much like the question itself. Peace.
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