Starting from the familiar factorization of integers into prime numbers, we extend the concept of unique factorization to polynomials and beyond. In particular, we will discuss how unique factorization, or the lack of it. probably jeopardized early attempts to prove Fermat's Last Theorem and will learn an interesting application to the probabilities associated with rolling a pair of dice. If time permits, there will be some experiments and a game of craps.
Snacks will be provided starting at 3:30.