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Student Support Forum: 'Polynomial factorization by roots?' topicStudent Support Forum > General > "Polynomial factorization by roots?"

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Author Comment/Response
Gandalf Saxe
12/11/12 11:08am

In: Factor[x^4 + 2 x^2 + 1]
Out: (1 + x^2)^2

This factorizes the polynomial alright, but not in the form P(x)=(x-r1)^p2*(x-r2)^p2*...*(x-rk)^pk
with the r's being roots and p's respective algebraic multiplicities.

Is it possible to have Mathematica factor the polynomial x^4+2x^2+1 to (x+I)^2*((x-I)^2)?

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Subject (listing for 'Polynomial factorization by roots?')
Author Date Posted
Polynomial factorization by roots? Gandalf Saxe 12/11/12 11:08am
Re: Polynomial factorization by roots? Nasser M. Ab... 12/12/12 08:07am
Re: Polynomial factorization by roots? Gandalf 12/18/12 08:58am
Re: Polynomial factorization by roots? Steve Keeley 12/25/12 7:44pm
Re: Re: Polynomial factorization by roots? Steve Keeley 12/26/12 7:30pm
Re: Polynomial factorization by roots? Steve Keeley 12/26/12 7:48pm
Re: Re: Polynomial factorization by roots? Gandalf Saxe 12/28/12 05:36am
Re: Re: Re: Polynomial factorization by roots? yehuda 12/28/12 11:39am
Re: Re: Re: Polynomial factorization by roots? Steve Keeley 12/28/12 12:11pm
Re: Re: Re: Polynomial factorization by roots? Steve Keeley 12/28/12 1:02pm
Re: Re: Re: Re: Polynomial factorization by roo... yehuda 12/29/12 00:17am
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