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eMath 2: Polynomials

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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