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Adam Tart reviews Stuffed Sheets
Stuffed Sheets are the most thorough compilation of math I have ever seen in such a small and manageable format... more

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

Related Stuffed Sheets:
Algebra Series:
Graphing Fundamentals 1 - Relations and Functions (ALG-CF9)
Graphing Fundamentals 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphing Fundamentals 3 - Maxima and Minima, Lines and Translations (ALG-CF11)
Fundamental Properties and Operations on Complex Numbers (ALG-CF20)
Graphical Interpretation of Complex Numbers, Calculation of Roots (ALG-CF21)
Quadratic Functions, Techniques for Solutions of Quadratic Equations (ALG-CF22)
Polynomial Functions and Equations (ALG-CF24)
Real Solutions of Polynomial Equations (ALG-CF25)
Approximations of Real Polynomial Roots, Rational Functions 1 (ALG-CF26)
Curve Sketching Toolboxes:
Graphing Facts and Guidelines (PCS-TB1)

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Last Update: 08/25/14