Chapter 6  Polynomial Expressions and Equations
"This chapter presents opportunities for students to analyze, factor, solve, and expand polynomial functions. The chapter begins with an analysis of key characteristics of polynomial functions and graphs. Lessons then provide opportunities for students to divide polynomials using two methods and to expand on this knowledge in order to determine whether a divisor is a factor of the dividend. In addition, students will solve polynomial equations over the set of complex numbers using the Rational Root Theorem. In the later part of the chapter, lessons provide opportunities for students to utilize polynomial identities to rewrite numeric expressions and identify patterns. Students will also explore Pascal’s Triangle and the Binomial Theorem as methods to expand powers of binomials."
Carnegie Textbook 
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Lesson 6.1  Analyzing Polynomial Functions
"... analyze the key characteristics of polynomial functions in various problem situations... answer questions related to a given graph and to determine the average rate of change for an interval. "  Carnegie Textbook Lesson 6.2  Polynomial Division
"This lesson reviews polynomial long division and synthetic division as methods to determine factors of polynomials... to write dividends as the product of the divisor and the quotient plus the remainder."  Carnegie Textbook Lesson 6.3  The Factor Theorem and Remainder Theorem
"This lesson presents the Remainder Theorem and Factor Theorem as methods for students to evaluate polynomial functions and to determine factors of polynomials respectively. "  Carnegie Textbook Lesson 6.4  Factoring Higher Order Polynomials
"This lesson provides opportunities for students to utilize previous factoring methods to factor polynomials completely."  Carnegie Textbook 
Lesson 6.5  Rational Root Theorem
"This lesson presents the Rational Root Theorem for students to explore solving higher order polynomials... to determine the possible rational roots of polynomials, to factor completely, and to solve polynomial equations over the set of complex numbers."  Carnegie Textbook Lesson 6.6  Exploring Polynomial Identities
"This lesson provides opportunities for students to use polynomial identities to rewrite numeric expressions and identify patterns. ."  Carnegie Textbook Lesson 6.7  Pascal's Triangle and the Binomial Theorem
"This lesson reviews Pascal’s Triangle and the Binomial Theorem as methods for students to expand powers of binomials."  Carnegie Textbook 