Alg2.2 Polynomials and Rational Functions

In this unit, students expand their understanding of polynomials from linear and quadratic to those of higher degree. They are introduced to situations polynomials can model. They study graphs and equations of the same function and make connections between factors and zeros. Students learn to divide polynomials and to sketch graphs of polynomials given in factored form. Building on this work, students investigate rational functions. They learn to interpret the meaning of asymptotes in context and strategies for solving rational equations. The unit concludes with a study of polynomial identities and deriving the formula for the sum of the first \(n\) terms in a geometric sequence.