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Algebra II
release 25.63
FULL VERSION
CONTENTS
Rectangular Coordinate System
Rectangular Coordinates of a Point
The Distance Formula
Circles
The Midpoint Formula
Functions and Graphs
Basic Definitions and Notations
Graphs of Functions
Composite Functions
Inverse Functions
Graphic Solution of Equations
Graphic Solution of Inequalities
Linear Equations and Inequalities in One Variable
Solving Linear Equations
Solving Linear Inequalities
Solving Equations Involving Absolute Values
Solving Inequalities Involving Absolute Values
Systems of Linear Equations and Inequalities
Systems of Two Linear Equations in Two Variables
Basic Concepts
Solutions Using Graphing
Solutions Using Substitution
Solutions Using Elimination
Determinants and Cramer's Rule
Determinants of Order 2
Determinants of Order 3
Definition and Properties of Determinants
Minors and Cofactors
The Expansion Theorem
Systems of Two Linear Equations in Two Unknowns. Cramer's Rule
Systems of Three Linear Equations in Three Unknowns. Cramer's Rule
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Operations with Polynomials
Addition of Polynomials
Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
Factoring Polynomials
Greatest Common Factor
Difference of Squares
Sum or Difference of Cubes
Factoring trinomials with a=1
Trinomials of the Form ax2 + bx + c
Square Trinomials
Solving Equations by Factoring
Roots of Polynomial Equations
The Remainder Theorem
The Factor Theorem
Descartes' Rule of Signs
Rational Zeros
Rational Expressions
Simplifying Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Finding the Least Common Denominator
Adding and Subtracting Rational Expressions
Rational Expressions with the Same Denominators
Rational Expressions with Different Denominators
Graphing Rational Functions
Vertical Asymptotes for the Graph of Rational Functions
Horizontal Asymptotes for the Graph of Rational Functions
Oblique Asymptotes for the Graph of Rational Functions
Solving Rational Equations
Exponents and Radicals
Square Roots
Basic Definitions
Approximate Square Roots
Equations Involving Radicals
nth Roots
Fractional Exponents
Complex Numbers
Basic Definitions and Graphical Representation of Complex Numbers
Operations with Complex Numbers
Conjugate Complex Numbers
Addition
Subtraction
Multiplication
Division
Quadratic Functions
Completing the Square
Factoring Trinomials by Completing the Square
Graphs of Quadratic Functions
Maximum and Minimum Problems
Solving Quadratic Equations
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by General Formula
The Sum and the Product of the Roots
Complex Roots of a Quadratic Equation
Graphic Solution of Quadratic Inequalities
Conic Sections
The Parabola
The Ellipse
The Hyperbola
Exponential and Logarithmic Functions
Graphs of Functions
Exponential Function
Logarithmic Function
Exponential and Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Solving Exponential Equations
Solving Logarithmic Equations
Applications
Compound Interest
Exponential Growth or Decay
Sequences and Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Infinite Geometric Series
Miscellaneous
Binomial Theorem
Factorial Notation
Binomial Expansions
Pascal's Triangle
Counting Principles
Permutations
Permutations of n Elements
Permutations of n Elements Taken r at a Time
Distinguishable Permutations
Combinations
Fundamental Counting Principles
DEMO VERSION
selected lessons from the FULL VERSION
E N T E R
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