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College Algebra Final Exam Review: Comprehensive Study Notes

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Function Operations

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

Function Composition

  • Evaluating Composed Functions
    4:26
  • Decomposition of Functions Example 1
    1:46
  • Domain Restrictions of Composed Functions
    3:51

Graphs and Coordinates

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

Linear Equations

  • Solving Linear Equations with Fractions
    04:02
  • Introduction to Solving Linear Equtions
    07:48
  • Categorizing Linear Equations
    06:00

Polynomials Intro

  • Standard Form of Polynomials
    05:16
  • Introduction to Polynomials
    05:13
  • Adding and Subtracting Polynomials
    03:34

Multiplying Polynomials

  • Special Products - Cube Formulas
    03:41
  • Special Products - Square Formulas
    04:14
  • FOIL
    03:07

Factoring Polynomials

  • Factor Using the AC Method When a Is 1
    4:16
  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30

Zeros of Polynomial Functions

    Dividing Polynomials

      The Quadratic Formula

      • Solving Quadratic Equations Using The Quadratic Formula
        06:36
      • The Discriminant
        04:11

      Completing the Square

      • Solving Quadratic Equations by Completing the Square
        06:24

      Intro to Quadratic Equations

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

      The Square Root Property

      • Imaginary Roots with the Square Root Property
        02:20
      • Solving Quadratic Equations by the Square Root Property
        06:12

      Dividing Polynomials

        Sequences

        • Example 2
          4:19
        • Example 1
          5:52
        • Introduction to Sequences
          8:22

        Arithmetic Sequences

        • Example 2
          7:00
        • Example 1
          2:35
        • Arithmetic Sequences - Recursive Formula
          6:40

        Geometric Sequences

        • Geometric Sequences - General Formula
          4:45
        • Geometric Sequences - Recursive Formula
          4:18

        Introduction to Logarithms

        • Evaluate Logarithms
          5:14
        • Logarithms Introduction
          7:30
        • The Natural Log
          2:51

        Properties of Logarithms

        • Change of Base Property
          5:36
        • Product, Quotient, and Power Rules of Logs
          3:49
        • Expand & Condense Log Expressions
          4:22

        Solving Exponential and Logarithmic Equations

        • Solving Exponential Equations Using Logs
          5:47
        • Solving Exponential Equations Using Like Bases
          4:46
        • Solving Logarithmic Equations
          5:02

        Introduction to Matrices

        • Performing Row Operations on Matrices
          8:38
        • Example 1
          13:06
        • Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
          5:58

        Determinants and Cramer's Rule

        • Determinants of 3×3 Matrices
          7:25
        • Cramer's Rule - 2 Equations with 2 Unknowns
          6:54
        • Determinants of 2×2 Matrices
          4:36

        Two Variable Systems of Linear Equations

        • Example 1
          3:09
        • Solving Systems of Equations - Elimination
          6:48
        • Example 2
          3:31