Hi! Nice to be here! I have a theorem from the article: Local and global extrema for functions of several variables:
Theorem: Theorem Let be a cubic in two variables. Suppose has a local minimum at . Then has other critical points.
Proof: Proof: there are no repeated roots in the cubic term, theorem 3 gives the result. Thus we let have double or triple root, and after a linear transformation we have either:
I understand the remainder of the proof...
I have a question for the bold part. How received these two polynomials?? I would ask for launching.
Grettings for all !