COLLEGE ALGEBRA
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Video Clips and Notes
Review: How To Factor Trinomials (ax
2
+ bx + c)
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Square Root Property
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Using Quadratic Formula
Solving Equations by Factoring by Grouping
Solving Radical Equations
Solving Equations in Quadratic Form
Solving Absolute Value Equations
Solving Linear Inequality, Compound Inequality, and Absolute Value Inequality
Relations, Functions, and Function Evaluation
Functions; Odd or Even; Piecewise; Difference Quotient and Function Evaluation
Slope of a Line; Writing Equation of Line
Parallel and Perpendicular Lines (Writing Equation of Line)
Transformation of Functions
Combination and Composition of Functions
Inverse Functions
Distance Formula and Equation of Circle
Graphing Quadratic Functions; Vertex; x-intercept; y-intercept
Graphing Polynomial Functions; End Behavior; Zeros of Polynomial Functions
Division of Polynomials
Finding Zeros of Polynomials
Rational Functions
Solving Polynomial and Rational Inequalities
Variations Problems
Exponential Functions
Log Functions
Properties of Log
Common Log and Natural Log
Solving Exponential Equations
Solving Log Equations
System of Two Equations
System of Three Equations
Solving System Of Nonlinear Equations
Row Echelon Form and Gaussian Elimination
Matrix Operations
Matrix Determinant and Cramer's Rule
Computational Tools
Scientific Calculator
Graphing Calculator for y = f(x)
Graphing Calculator for x = g(y) (Example: x = 3y
2
+ 3y - 4)
Graphing Calculator with Two Functions
Graphing Calculator with Three Functions
Graphing Calculator with Four Functions
Factor Trinomial (ax
2
+ bx + c)
Solve Quadratic Equations (ax
2
+ bx + c = 0) Using Factoring Method
Solve Quadratic Equations (ax
2
+ bx + c = 0) Using Completing-the-Square Method
Solve Quadratic Equations (ax
2
+ bx + c = 0) Using Quadratic Formula
Absolute Value (Solving)
Absolute Value (Solving)
Radical Equations (Solving)
Graphing Functions with Restricted Domain (Piecewise)
Writing Linear Equation: y - y1 = m(x - x1) and y = mx + b
Writing Linear Equations for Parallel and Perpendicular Lines
Find Combination and Composition of functions
Find (f+g)(x); (f-g)(x); (f•g)(x); f(x)/g(x) and (f∘g)(x)
Polynomial Arithmetic (f(x)+g(x); f(x)-g(x); f(x)*g(x); f(x)/g(x)
Graphing Inverse Functions
(Graph f(x) and f
-1
(x) on same chart)
Graphing Inverse Functions with Restricted Domain
(Graph f(x) and f
-1
(x) on same chart)
Distance Between Two Points
Graphing Circles
Circles: Convert General Form to Standard Form
Quadratic Functions (Analysis of)
(Standard Form)
Quadratic Functions (Analysis of)
(General Form)
Long Division of Polynomials
Synthetic Division of Polynomials
Zeros of Polynomials (Rational Zero Theorem)
Polynomial Roots/Zeroes (Example: solve 2x
3
+ 9x
2
- 2x - 24 = 0)
Factoring Polynomials (Example: factor 2x
3
+ 9x
2
- 2x - 24)
Factoring Polynomials (Example: factor 2x
3
+ 9x
2
- 2x - 24)
Rational Functions(Analysis of)
Polynomial and Rational Inequalities
(Example: Solve 9x
2
- 2x - 24 ≤ 0 or (x - 1)/(x -4) ≥ 0 )
Condensing Log Expression
Log Equations (Solving)
Exponential Equations (Solving)
System of Two Equations (Graphing Method (version 1))
(Example: Find intersection of x - y = 6 and 2x + y = 9)
System of Two Equations (Graphing Method (version 2))
System of Two Equations (Addition/Elimination Method)
System of Two Equations (Substitution Method)
Matrix Arithmetic
(find sum, difference, and product of two matrices)
Matrix Determinant and Matrix Inverse
Matrix: Row Echelon and Row Reduced Echelon
Cramer's Rule for 2x2 system
Cramer's Rule for 3x3 system
Conic Sections (Parabola, Ellipse, Hyperbola, and General Form)
Parametric Equations
Polar Equations