title: Multiplying polynomials in python
body: <p>I did the adding and the subtracting but I am having a really hard time multiplying to polynomials in python. </p>
  
  <p>For example, if I have:</p>
  
  <pre><code>2X^2 + 5X + 1 [1,5,2]
  </code></pre>
  
  <p>and...</p>
  
  <pre><code>3X^3 + 4X^2 + X + 6 [6,1,4,3]
  </code></pre>
  
  <p>We get:</p>
  
  <pre><code>6X^5 + 23X^4 + 25X^3 + 21X^2 + 31X + 6 [6,31,21,25,23,6]
  </code></pre>
  
  <p>I am desperate. I have been working at it for days. Any help would be appreciated</p>