#!/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.

# In[1]:


from IPython.html.widgets import interact
from IPython.display import display


# In[2]:


from sympy import Symbol, Eq, factor, init_printing
init_printing(use_latex='mathjax')


# In[3]:


x = Symbol('x')


# In[4]:


def factorit(n):
    display(Eq(x**n-1, factor(x**n-1)))


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

# In[5]:


factorit(12)


# In[6]:


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


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