Polynomials and rational functions

polynomial long division, end behavior, rational equations, difference of squares Adding, subtracting and multiplying polynomials, Power functions and end behavior, Zeros of polynomials and their multiplicity, Dividing polynomials, The remainder theorem and the factor theorem, Polynomial identities, Rational functions: vertical and horizontal asymptotes, Rational functions: intercepts and holes, The binomial theorem, Simplifying, multiplying and dividing rational expressions, Adding and subtracting rational expressions, Solving rational equations