Comment #65 on issue 1598 by asmeurer: New polynomials manipulation module
http://code.google.com/p/sympy/issues/detail?id=1598

I agree (the blocking list for this issue is quite large by now). But it will no doubt introduce many bugs too (the sad truth with any program is that you have to consider net bug changes, as new code always introduces some kind of bugs).

But more importantly, the new module breaks compatibility internally, if I remember correctly.

On another note, I get this result based on comment 50:

roots(exp(x)+exp(2*x)-2)
{1: 1, -2: 1}
roots(exp(x)+exp(2*x)-2, x)
sympy.polys.polyerrors.PolynomialError: exp(2*x) contains an element of the generators set

The first isn't so bad, since it is the users fault for not giving the symbol, but the second should either return {} (meaning it can't do it), or even better, try to solve exp(x) for x and give the solution (solve gets it right by the way).

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