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Re: factorizing polynomial

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33115] Re: [mg33099] factorizing polynomial
  • From: BobHanlon at aol.com
  • Date: Sun, 3 Mar 2002 17:15:18 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In a message dated 3/3/02 6:54:33 AM, niubbo at libero.it writes:

>To factor x^4+4 I do this:
>I add and subtract 4x^2 to get
>
>x^4+4+4x^-4x^2=(x^2+2)^2-4x^2=(x^2+2+2x)(x^2+2-2x)
>
>I CAN do in this way, but how can Mathematica do it automatically?
>Somebody knows about skills to factor polynomial like previous and like
>x^4+x^2+1?
>

x^4+4//Factor

(x^2 - 2*x + 2)*(x^2 + 2*x + 2)

x^4+x^2+1 // Factor

(x^2 - x + 1)*(x^2 + x + 1)


Bob Hanlon
Chantilly, VA  USA


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