Section 1.3 Topics Covered in MTH 95
¶Explanations, Examples, and Exercises.
Please note that the documents open in new windows.
- Factoring the Greatest Common Factor
- Factoring Trinomials that Have Leading Coefficients of One
- Factoring by Grouping
- Factoring Trinomials When the Leading Coefficient Isn't One
- Factoring Binomials
- A General Factoring Strategy
- Solving Quadratic Equations by Factoring
- Introduction to Function Notation
- Domain and Range of a Function
- Domains of Rational Functions
- Simplifying Rational Expressions
- Multiplication and Division of Rational Expressions
- Addition and Subtraction of Rational Expressions
- Complex Fractions
- Equations with Rational Expressions
- Applications of Equations with Rational Expressions
- The Vertex Form of the Equation of a Parabola
- Solving Quadratic Equations by Completing the Square
- Graphing Parabolas by Completing the Square
- Basic Absolute Value Equations
- Basic Absolute Inequalities
- Isolating the Absolute Value Equations
- Using Graphs to Determine the Solutions to Inequalities
GeoGebra Applets.
Please note that the Applets open in new windows.
Factoring trinomials with a leading coefficient of one - part one. (Exploration and Drill Applet)
Factoring trinomials with a leading coefficient of one - part two. (Drill Applet)
Factoring trinomials with a leading coefficient that is not one - part two. (Drill Applet)
Factoring trinomials with a leading coefficient that is not one - part three. (Drill Applet)
Factoring difference of squares that have one variable. (Drill Applet)
Factoring difference of squares that have two variables. (Drill Applet)
Factoring sum and difference of cubes that have one variable. (Drill Applet)
Factoring sum and difference of cubes that have two variables. (Drill Applet)
Introduction to Function Notation - Part One. (Graphical Exploration Applet)
Introduction to Function Notation - Part Two. (Exploration Applet)
Simplifying \(f(x+y)\) for a quadratic expression \(f\text{.}\) (Exploration and Drill Applet)
Solving quadratic equations after first completing the square. (Exploration and Drill Applet)
Graphing parabolas when the equation is stated in vertex form. (Graphing Applet)
Using a graph to solve an inequality - part one. (Graphing Applet)
Using a graph to solve an inequality - part two. (Graphing Applet)
Videos Created by Ann Cary, Scot Leavitt, and Emily Nelson.
The links take you to YouTube Playlists which will open either in a new window or in a Youtube App.
- Greatest common factor
- Factoring by grouping
- Factoring trinomials with leading coefficients of \(1\)
- Factoring trinomials where the leading coefficients are not \(1\)
- Factoring special polynomials
- Factoring strategies
- Solving quadratic equations by factoring
- Completing the Square
- More on Complex Solutions to Quadratic Equations
- Function Basics
- Domain and Range
- Using Technology to Explore Functions
- Simplifying Expressions using Function Notation
- Technical Definition of a Function
- Introduction to Rational Functions
- Multiplication and Division of Rational Expressions
- Addition and Subtraction of Rational Expressions
- Complex Fractions
- Solving Rational Equations
- Introduction to Absolute Value
- Compound Inequalities
- Absolute Value Equations and Inequalities