Algebra Series - Concepts and Formulas™
Real Solutions of Polynomial Equations (ALG-CF25)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering real solutions of polynomial 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:

• The Intermediate Value Theorem for Polynomials
• The Location Theorem
• The converse of the Location Theorem
• The Rational Roots Theorem
• Synthetic division arrays
• The Upper and Lower Bounds Theorem
• Variations in sign
• Sign changes
• Descartes's rule of signs
• Complete polynomials