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MathGroup Archive 2002

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factoring quartic over radicals

  • To: mathgroup at
  • Subject: [mg37006] factoring quartic over radicals
  • From: Steve Earth <SteveE at>
  • Date: Sun, 6 Oct 2002 05:32:48 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Greetings MathGroup,

My name is Steve Earth, and I am a new subscriber to this list and also a
new user of Mathematica; so please forgive this rather simple question...

I would like to enter the quartic x^4 + x^3 + x^2 + x + 1 into Mathematica
and have it be able to tell me that it factors into

(x^2 + GoldenRatio x + 1) ( x^2 - 1/GoldenRatio x + 1)

What instructions do I need to execute to achieve this output?

-Steve Earth
Harker School

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