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factoring quartic over radicals

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

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
http://www.harker.org/

• Follow-Ups:
  • Re: factoring quartic over radicals
    • From: "German BUITRAGO A." <gerbual@col2.telecom.com.co>