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Backport PR #8271: Allow to set same mode as existing if load fails....
Backport PR #8271: Allow to set same mode as existing if load fails. Setting the mode many times in a row, would fail to actually set the mode if it was failing to load the mode the first time. The prevent the above behavior by falling back **explicitly** to 'null' if mode does not exist yet, or can't be loaded. ...

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Factoring.ipynb
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Factoring Polynomials with SymPy

Here is an example that uses SymPy to factor polynomials.

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from IPython.html.widgets import interact
from IPython.display import display
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from sympy import Symbol, Eq, factor, init_printing
init_printing(use_latex='mathjax')
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x = Symbol('x')
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def factorit(n):
    display(Eq(x**n-1, factor(x**n-1)))

Notice how the output of the factorit function is properly formatted LaTeX.

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factorit(12)
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interact(factorit, n=(2,40));