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Precalculus Study Notes: Complex Numbers, Quadratic, Polynomial, and Rational Functions

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Complex Numbers

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

The Imaginary Unit

  • Guided course
    Square Roots of Negative Numbers
    05:02

Powers of i

  • Guided course
    Powers of i
    04:10
  • Guided course
    Higher Powers of i
    05:10

Intro to Quadratic Equations

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

Quadratic Functions

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

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

Graphing Polynomial Functions

  • Guided course
    Graphing Polynomial Functions
    05:25
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Example 1
    09:43

Factoring Polynomials

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

Sequences

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

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Asymptotes

  • Guided course
    Determining Horizontal Asymptotes
    4:48
  • Guided course
    Introduction to Asymptotes
    6:24
  • Guided course
    Determining Vertical Asymptotes
    3:12

Graphing Rational Functions

  • Guided course
    Example 1
    10:18
  • Guided course
    How to Graph Rational Functions
    8:19
  • Guided course
    Example 1
    3:08

Linear Inequalities

  • Guided course
    Interval Notation
    05:18
  • Guided course
    Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Linear Inequalities
    06:07