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Let $f(x)=x^4+26x^3+52x^2+78x+ 1989$

$f(x)$ can't be factorize in $p(x)q(x)$ where where $p\ and\ q$ are of degree $\le 3 $

ROBINSON
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  • For your information: the highest power of the unknown occurring in a (univariate) polynomial is called its degree. We understood you - no problem. Just to help you in the future! Here you could phrse the last sentence to read: "... where $p$ and $q$ are of degree $\le 3$." – Jyrki Lahtonen May 06 '13 at 07:36
  • I apologize @JyrkiLahtonen, I should use the correct terminology. – ROBINSON May 06 '13 at 13:46
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    Absolutely no need to apologize. Doing math in a foreign language is hard at first. – Jyrki Lahtonen May 06 '13 at 14:04

1 Answers1

5

Use Eisenstein's criterion for prime $p=13$.

Girish
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