eMath 2 premium

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eMath 2: Polynomials

CURRENT OFFER: Get 4f Studio Student Edition subscription for free with book purchase, valid 12 months from purchase!
The ebooks are 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 4f Studio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions. When your are finished, you can let the computer automatically check your assignments. The automatic checker sends each step in the derivation to an automatic theorem prover. If each step in the derivation is proved correct, the derivation is correct. The checker warns when it was not able to prove a derivation step correct, so that you can inspect the step, see your mistakes easily and correct them. See 4f Checker for more details.
Each eMath Premium book includes:
  • eMath textbook with
    • 300-400 assignments + answers, in three levels of complexity
    • Numerous example solutions
    • Possibility to add comments and highlight text
  • Automatic checking feature for immediate feedback on your solutions, 200 checkings/book
  • Numerical and symbolical calculator

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