 | 1 | initial version |
Given a polynomial P=(X-a)(X-b)(X-c) over Q[a,b,c][X] , how can I force the coefficients to fullfill constraints such as elementary symetric function a+b+c=0 or abc=2, some polynomial constraint on coefficients.
It is a bit like using coefficients on a number field with the constraint of a minimal polynomial but with different constraints here.
| | 2 | No.2 Revision |
Given a polynomial P=(X-a)(X-b)(X-c) over Q[a,b,c][X] , how can I force the coefficients to fullfill constraints such as elementary symetric function a+b+c=0 or abc=2, some polynomial constraint on coefficients.
It is a bit like using coefficients on a number field with the constraint of a minimal polynomial but with different constraints here.
A simple example: if P = ( X - a ) ( X - b ) and a + b = 0 then I want to find P = X^2 - ab
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