#!/usr/bin/env python
# coding: utf-8

# # Factoring Polynomials with SymPy

# Here is an example that uses [SymPy](http://sympy.org/en/index.html) 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));