Question: Making all coefficients of multivariate polynomial zero?

Hello,

 

suppose I have a huge polynomial in several variables, say x, y and z, with some unknown coefficients:

 

(a*b+1)*x^3+(a+b+1)*x^2*y^2+(a-b^3)*x*y^2+a*y^10

 

Is there an efficient way to obtain all coefficients, when interpreting this as a polynomial in x and y?

(My goal is to make maple solve the equations in a and b  in order to let the polynomial be identically zero)

 

Many thanks!

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