I would like to set equal to zero some monomials in a polynomial. In particular those monomials in which an unknown has a certain degree.
For example for the polynomial
poly := x^2*y+x*y*z+x*z
i would like to set equal to zero the monomials in which x has degree 1, that is x*y and x*z.
Is there a way to do it?
Thanks in advance