A polynomial is a sum of several terms where the exponents are non-negative integers. That is, the exponents must be integers and they must not be negative. Here I give you a numbers of examples to decide if they are polynomials or not. Then we explain how to add, subtract and multiply polynomials and go over special products: the product of a binomial sum by its difference, a binomial square and a binomial cube. You can save time and effort memorizing these special products.