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.

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