eMath 2 Polynomials (OPS03)



eMath 2: Polynomials

The e-book is structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book. You can easily write mathematics on the computer with the eMathStudio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions.
Each eMath book includes:
  • 300-400 assignments + answers, in three levels of complexity
  • Numerous example solutions
  • Possibility to add comments and highlight text
  • Possibility to check the correctness of the calculation

Overview: This book presents first degree and higher degree polynomials. It shows how to solve equations involving polynomials, and how to factories polynomials. It also explains how to solve simultaneous equations as well as inequalities, and how to work with rational expressions.

Table of contents:

1 Preface
2 Polynomials
2.1 Generally About Polynomials
2.2 Operations on Polynomials
2.3 Rules for Polynomials
2.4 Factoring
3 First Degree
3.1 First-Degree Polynomial Functions
3.2 Review: First-Degree Equations
3.3 Inequalities
3.4 Parametric Inequalities
4 Simultaneous Equations
4.1 Simultaneous Equations
4.2 Solutions to Simultaneous Equations
4.3 Simultaneous Equations in Word Problems
4.4 Rules of Logic
5 Second Degree
5.1 Second-Degree Polynomial Functions
5.2 Second-Degree Equations
5.3 Incomplete Second-Degree Equation
5.4 Complete Second-Degree Equations
5.5 The Discriminant
5.6 Logical Disjunction
6 Factoring a Polynomial
6.1 Factoring a Second-Degree Polynomial
6.2 Factoring Higher-Degree Polynomials
7 Second-Degree Inequalities
8 Higher Degree
8.1 Higher-Degree Polynomial Functions
8.2 Higher-Degree Equations
8.3 Solving Higher-Degree Equations
8.4 Higher-Degree Inequalities
9 Rational Expressions
9.1 Rational Expressions
9.2 Rational Equations
9.3 Rational Inequalities
9.4 The Logical Negation