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College Algebra

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Richard Beveridge

Pub Date: 2018

Publisher: Independent

Language: English

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Attribution-NonCommercial-ShareAlike
CC BY-NC-SA

Table of Contents

1. Algebra Review

  • 1.1 Algebraic Simplification
  • 1.2 Factoring
  • 1.3 Quadratic Equations
  • 1.4 Complex Numbers
  • 1.5 Quadratic Equations with Complex Roots
  • 1.6 Multiplying and Dividing Rational Expressions
  • 1.7 Adding and Subtracting Rational Expressions
  • 1.8 Complex Fractions
  • 1.9 Rational Equations

2. Polynomial and Rational Functions

  • 2.1 Representing Intervals
  • 2.2 Solution by Graphing
  • 2.3 Solution of Polynomial Inequalities by Graphing
  • 2.4 Solution of Rational Inequalities by Graphing
  • 2.5 Finding Factors from Roots
  • 2.6 Polynomial Long Division
  • 2.7 Synthetic Division
  • 2.8 Roots and Factorization of Polynomials

3. Exponents and Logarithms

  • 3.1 Exponential and Logistic Applications
  • 3.2 Logarithmic Notation
  • 3.3 Solving Exponential Equations
  • 3.4 Solving Logarithmic Equations
  • 3.5 Applications of the Negative Exponential Function

About the Book

This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

About the Contributors

Author

Richard W. Beveridge