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Integer coefficients (Posted on 2007-03-13) Difficulty: 2 of 5
Determine if it is possible that p(x)*q(x)= x5+9x+1, if p(x) and q(x) must be polynomials of degree 1 or higher, with integer coefficients.

See The Solution Submitted by K Sengupta    
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Solution cheating (WIMS Factoris) | Comment 1 of 3

http://wims.unice.fr/wims/wims.cgi?module=tool/algebra/factor.en

gives

 x^5+9*x+1 = x5+9x+1
is an irreducible polynomial over <IMG alt=ZZ src="http://wims.unice.fr/wims/mathfonts/109/ZZ.gif" border=0>.

I hope the symbols above come out ok in the comment box.


  Posted by Charlie on 2007-03-13 08:31:49
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