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College Algebra Final Exam Comprehensive Study Guide

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Study Guide - Learn with Videos

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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

      Dividing Polynomials

        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

        Completing the Square

        • Solving Quadratic Equations by Completing the Square
          06:24

        The Quadratic Formula

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

        Quadratic Functions

        • Converting Standard Form to Vertex Form
          04:34
        • Vertex Form
          08:07
        • Example 2
          7:49

        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

        Introduction to Rational Functions

        • Intro to Rational Functions
          6:04

        Rational Equations

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

        Introduction to Exponential Functions

        • Exponential Functions
          6:13

        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

        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