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Precalculus Study Guide: Algebraic Expressions, Functions, and Graphs

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Factoring Polynomials

  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30
  • Factor Using Special Product Formulas
    6:29

Simplifying Radical Expressions

  • Expanding Radicals
  • Radical Expressions with Fractions
    05:45
  • Adding & Subtracting Unlike Radicals by Simplifying
    5:48

Multiplying Polynomials

  • Multiply Polynomials Using the Distributive Property
    04:15
  • Special Products - Square Formulas
    04:14
  • Special Products - Cube Formulas
    03:41

The Imaginary Unit

  • Guided course
    Square Roots of Negative Numbers
    05:02

Complex Numbers

  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Dividing Complex Numbers
    04:22
  • Guided course
    Complex Conjugates
    05:33

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

Rational Equations

  • Guided course
    Restrictions on Rational Equations
    05:21
  • Guided course
    Introduction to Rational Equations
    05:56

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Lines

  • Standard Form of Line Equations
    05:39
  • Types of Slope
    5:17
  • Point-Slope Form
    05:46

Transformations

  • Reflections of Functions Example 1
    01:09
  • Reflections of Functions
    5:00
  • Graphs of Shifted & Reflected Functions Example 1
    2:49

Function Operations

  • Multiplying & Dividing Functions
    7:24
  • Adding & Subtracting Functions Example 1
    4:46
  • Adding & Subtracting Functions
    5:56

Function Composition

  • Decomposition of Functions
    4:07
  • Function Composition
    4:56
  • Domain Restrictions of Composed Functions
    3:51

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphs and Coordinates

  • Graphs and Coordinates - Example
    02:16
  • Graphs & the Rectangular Coordinate System
    05:10

Sequences

  • Example 1
    05:52
  • Example 2
    04:19
  • Introduction to Sequences