Pre Calculus Series - Curve Sketching Toolboxes™
Polynomial Functions (PCS-TB2)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering polynomial functions and the application of algebraic theorems to sketching polynomial curves. Each Toolbox™ sheet fully explains graphing concepts in detail and contains a large number of highly detailed illustrations. Each Toolbox™ also outlines special features and techniques that are specific to sketching the particular type(s) of curves on that sheet.

Topics Covered:

• Polynomial functions
• Graphs of polynomial functions
• The Fundamental Theorem of Algebra
• The Linear Factorization Fheorem
• The Number of Roots Theorem
• The Conjugate Roots Theorem
• The Irrational Conjugates Theorem
• The Location Theorem
• The Rational Roots Theorem
• How to sketch lines
• How to write the equation of a line from its graph
• How to sketch a parabola given an equation
• How to write the equation of a parabola from its graph
• How to sketch the graphs of functions of degree three or higher
• How to sketch a graph from an equation
• How to write an equation from a graph