I'll be sharing these three methods with you in a series of posts, in order to give each method enough attention. My names for the methods are as follows:
My personal favorite is "The Table" method -- it is most intuitive to me. Even up through Calculus III in university, my homework and tests would have a little table scrawled in the margins where ever I was required to multiply polynomials. :-)
I hope you find at least one of these methods helpful. I will also give a brief description of when each method may be preferred over another.
Please stick with me through this series. Let me know if you have any questions or comments, or if you have a request for a future post.