Comment #53 on issue 1598 by mattpap: New polynomials manipulation module
http://code.google.com/p/sympy/issues/detail?id=1598

And multivariate support is ready:

In [1]: factor(x**2 - 2*y**2, extension=sqrt(2))
Out[1]:
⎛        ⎽⎽⎽⎞ ⎛        ⎽⎽⎽⎞
⎝x + y⋅╲╱ 2 ⎠⋅⎝x - y⋅╲╱ 2 ⎠

So, only multiple extensions to go.

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