sage: exp=(2*x^3 - 3*x + 4)/(x - 9);
sage: exp.factor()
(2*x^3 - 3*x + 4)/(x - 9)
sage: exp.simplify_full()
(2*x^3 - 3*x + 4)/(x - 9)
sage: exp.partial_fraction()
1435/(x - 9) + 2*x^2 + 18*x + 159
sage: exp.numerator().maxima_methods().divide(exp.denominator())
[2*x^2 + 18*x + 159, 1435]

There is also some better for the last division, search the help and
try the tab completion.

Robert

On 25 čvn, 21:43, "S. Robert James" <[email protected]> wrote:
> If I have a rational expression in x, say (2*x^3 - 3x + 4)/(x - 9),
> what are the different forms Sage can display it in? I'd like to be
> able to:
>
> * Simplify it as much as possible (eg take out common factors,
> stipulating that there's no division by zero)
>
> * Factor it as much as possible
>
> But also, show it in this form:
>
> * Do the division out, with a remainder

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