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Question: Equating multiple multivariate polynomials to find coefficients

Question:Equating multiple multivariate polynomials to find coefficients

mnovaes 25 Maple 2017
polynomial solve multivariate
August 26 2019
1

I want to solve for the coefficients in some multivariate polynomials by equating them to other known multivariate polynomials.

 

Something like this. I have

p[1]=(a+b)*x^2+(a+c)*x*y+d*z;

p[2]=(a-b)*x+e*y*z+f*z^2;

 

I want to impose that p[1]=x^2+2*x*y+3*z and that p[2]=x+4*y*z and I want Maple to tell me the values of (a,b,c,d,e,f).

 

Sounds simple enough, but I have not been able to do it
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