### How to solve polynomial equations?

Posted:

**Thu Oct 03, 2019 10:53 am**I want to solve polynomial equation of the following kind.

a. (x+2y-3z^2) + b (x+y+z)*(x+2y-z) + c (y-2z) = 0

I want to find a,b,c s.t. the above equation is satisfied for all values of x,y,z. This can be done in Mathematica using SolveAlways function. How to do this in magma? What is the algorithm that Magma uses for solving such a thing? What is its time complexity?

a. (x+2y-3z^2) + b (x+y+z)*(x+2y-z) + c (y-2z) = 0

I want to find a,b,c s.t. the above equation is satisfied for all values of x,y,z. This can be done in Mathematica using SolveAlways function. How to do this in magma? What is the algorithm that Magma uses for solving such a thing? What is its time complexity?