From: jbudden@swbatl.sbc.com (Jim Buddenhagen 5-5183) Newsgroups: sci.math Subject: factor polynomials over Q Keywords: polynomial, factor, rationals Date: 17 Apr 91 17:05:46 GMT A necessary condition that a polynomial (in one variable with integer coeff's) factor completely over the rationals is that its discriminant be the square of a rational number. Especially for quartic and cubic polynomials are there necessary and sufficient conditions for this? Hopefully in terms of the coefficients. Comments or references appreciated. -- Jim Buddenhagen - SWBT - Statistical Research One Bell Center - Room 27X5 - St. Louis. MO. 63101. UUCP: { pyramid, uunet, bellcore }...!swbatl!jbudden INTERNET: jbudden@swbatl.sbc.com PHONE: 314-235-5183