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MTH 95 – Intermediate Algebra: Course Syllabus and Study Guide

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Intro to Polynomials

  • Introduction to Polynomials
    05:13
  • Degree of Polynomials
    05:20

Factoring by Greatest Common Factor & Grouping

  • GCF of Terms
    05:42
  • Factoring Polynomials by Grouping Example 4
    02:47
  • Factoring Polynomials by Grouping Example 5
    03:23

Factoring Trinomials of the Form x² + bx + c

  • Factoring Trinomials of the Form x² + bx + c Example 1
    02:03
  • Factoring Trinomials of the Form x² + bx + c
    07:23

Factoring Trinomials of the Form ax² + bx + c

  • Factoring Trinomials by Grouping (AC Method)
    04:23
  • Factoring Trinomials Using Trial and Error
    08:18
  • Factoring Trinomials Using Trial and Error Example 2
    03:07

Factoring Special Products

  • Difference of Squares Example 3
    01:17
  • Difference of Squares
    04:13
  • Sum & Difference of Cubes Example 6
    02:49

Multiplying and Dividing Rational Expressions

  • Multiplying Rational Expressions Example 1
    03:58
  • Dividing Rational Expressions
    03:43
  • Multiplying Rational Expressions
    03:41

Adding and Subtracting Rational Expressions with Common Denominators

  • Adding and Subtracting Rational Expressions with Common Denominators Example 1
    04:35
  • Adding and Subtracting Rational Expressions with Common Denominators
    06:00

Adding and Subtracting Rational Expressions with Different Denominators

  • Adding and Subtracting Rational Expressions with Unlike Denominators
    06:23
  • Adding and Subtracting Rational Expressions with Unlike Denominators Example 1
    08:03

Rational Equations

  • Restrictions on Rational Equations
    05:21
  • Solving Rational Equations Example 1
    08:59
  • Solving Rational Equations
    05:56

Introduction to Radical Expressions

  • Finding Higher Roots: Even Roots
    04:44
  • Simplifying nth Root of nth Power
    05:20
  • Approximating Roots
    03:15

Simplifying Radical Expressions

  • Product Rule of Radicals Example 1
    01:05
  • Quotient Rule of Radicals
    05:04
  • Simplifying Radicals Example 3
    04:06

Adding and Subtracting Radicals

  • Adding & Subtracting LIKE Radicals
    03:50
  • Adding & Subtracting UNLIKE Radicals
    5:48
  • Adding & Subtracting UNLIKE Radicals Example 1
    01:40

Multiplying, Dividing, and Rationalizing Radicals

  • Rationalizing Denominators Example 3
    02:34
  • Rationalizing Denominators
    02:58
  • Multiplication of Radical Expressions Example 2
    05:00

Introduction to Complex Numbers

  • Adding and Subtracting Complex Numbers
    03:18
  • Introduction to Complex Numbers
    03:31
  • Square Roots of Negative Numbers
    05:02

The Square Root Property

  • Imaginary Solutions
    02:26
  • Using The Square Root Property
    05:34
  • Using The Square Root Property Example 3
    03:56

Completing the Square

  • Complete the Square Example 1
    08:50
  • Complete the Square
    07:06
  • Complete the Square Example 2
    02:40

The Quadratic Formula

  • Choosing a Method to Solve Quadratic Equations
    03:45
  • Introduction to the Quadratic Formula
    06:08
  • The Discriminant
    04:11

Graphing Quadratic Equations

  • Intro to Graphing Quadratic Equations
    04:10
  • Vertex Form of Quadratics Example 4
    04:04
  • Horizontal and Vertical Shifts of Quadratics Example 2
    03:42