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College Algebra by Stewart/Redlin/Watson
SUMMARY

Chapter 4:   Polynomial and Rational Functions

Section 4.1: Polynomial Functions and Their Graphs (page 310)

Function: Polynomial: Definition and Elementary Properties


Function: Polynomial: Equivalent Statements


Function: Polynomial: Multiplicities of Zeros

Sample Exercises


Function: Polynomial: Intermediate Value Theorem


Section 4.2: Dividing Polynomials (page 325)

Function: Polynomial: Dividing


Function: Polynomial: Remainder and Factor Theorems

Sample Exercises    Sample Divisions


Section 4.3: Real Zeros of Polynomial Functions (page 333)

Function: Polynomial: Real Zeros


Section 4.4: Complex Zeros and The Fundamental Theorem of Algebra (page 347)

Function: Polynomial: Complex Zeros

Sample Exercises    An Interesting Example


Section 4.5: Rational Functions (page 356)

Function: Rational: Definition


Function: Rational: Vertical Asymptotes


Function: Rational: Horizontal Asymptotes


Function: Rational: Important Facts


Function: Rational: Oblique Asymptotes


Graphs of Rational Functions

Function: Rational: Sketching the Graph


Sample Exercises

Sample Exercises

A Good Example

A Really Good Example