I need to determine the minimal polynomial for a quotient in (1).
(1) B = C / A
C is known as a root of a 36th degree polynomial and A is known as a root of a 24th degree polynomial.
However I have not been able to succeed in recovering the coefficients nor the degree of the polynomial for B.
Any suggestions? I have tried to use GP-Pari's algdep(number,power) command, but so far with little success, even though I know the decimal value of B to 10,018 digits.
Thanks for your help.
P.S. This is a repost after a suggestion
After working with the resultant method, I was able to successfully recover a 144th degree polynomial whose highest power term has the expected square coefficient. This polynomial was one of 3 polynomials factored from a 864th degree polynomial originally obtained.
I guessed 72nd degree, but it would have taken too long using GP-Pari's algdep(number,144) to recover the polynomial.
Thanks for your suggestions, I now have a valuable tool to help me work with algebraic vectors in R3.