Algebra Series - Concepts and Formulas™
Polynomial Functions and Equations (ALG-CF24)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas fully covering polynomial functions and equations, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Polynomial functions of degree n
• The zero polynomial
• Graphs of polynomial functions
• Continuity
• Concavity
• Points of inflection
• General characteristics of polynomial graphs
• How to solve polynomial equations
• The Division Algorithm
• Synthetic division
• How to divide polynomials by synthetic division
• The Remainder Theorem
• The Factor Theorem
• Depressed polynomials
• The Fundamental Theorem of Algebra
• The Linear Factorization Theorem
• The Number of Roots Theorem
• The Conjugate Roots Theorem
• The Irrational Conjugates Theorem