Algorithms for solving algebra problems?

Are there algorithms to solve non-trivial algebra problems, for example to simplify the following expression:

2x^3 - 3x^2 + 3x - 4
--------------------
         x-2

The solution would be 2x^2 + x + 5 + 6/(x-2).

Are there also algorithms for factoring and other algebra-oriented math?

Thanks

Answers


For the example you have given, just a simple division of polynomials work. You can get more information from:

http://en.wikipedia.org/wiki/Polynomial_long_division


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