help with polynomial solutions

*To*: mathgroup at smc.vnet.net*Subject*: [mg81704] help with polynomial solutions*From*: "Jules P. Aronson" <aronson at nlm.nih.gov>*Date*: Tue, 2 Oct 2007 05:28:51 -0400 (EDT)*Reply-to*: aronson at nlm.nih.gov

I could not get mathematica to solve the following class of problems. If f(x) and g(x) and two polynomials then a solution to force f(x) to be equal to g(x) is the equate the coefficients of f(x) to be the same as those of g(x). For example, a x^2 + b x + c == x^2, has a solution, a=1, b=0, c=0. If I do the following in mathematica: Solve[a x^2 + b x + c == x^2, {a,b,c}] or using Reduce, I do not get the desired solution. Can someone tell how to force mathematica to solve such problems.

**Follow-Ups**:**Re: help with polynomial solutions***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>