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Factoring polynomials over the reals

• To: mathgroup at yoda.physics.unc.edu
• Subject: Factoring polynomials over the reals
• From: JWENDEL at isdmnl.wr.usgs.gov
• Date: Thu, 18 Mar 1993 11:36:33 -0800 (PST)

I believe that NSolve is the only way to go.  Consider so simple an example
as x^5-4x+2=0.  This has no "elementary" solutions, i.e. rational or
expressible through radicals 
and thus I think there can't be a method to produce the desired
factorization.