Completing the Square
VIDEO: Introduction on How to Complete a Square for a Quadratic Function
In this video I show how to complete the square for a quadratic (2nd degree polynomial) function. I start by reviewing how to factor a perfect square trinomial into a binomial squared which is what completing the square accomplishes. I then complete the square on some quadratic functions to put them in an equivalent form.
PDF File: Printable to take notes on “Introduction on How to Complete a Square for a Quadratic Function”
VIDEO: Exercises to Accompany “Introduction on How to Complete a Square for a Quadratic Function”_1
This video goes over some exercises I wrote to practice what I went over in the previous video.
PDF File: Exercises to Accompany “Introduction on How to Complete a Square for a Quadratic Function”_1
VIDEO: Solving Quadratic Equations By Completing the Square_Part 1
In this video I review how to complete a square for a quadratic function or equation. I then use this technique to solve some quadratic equations where the coefficient of x^2 is 1.
PDF File: Printable for taking notes on “Solving Quadratic Equations By Completing the Square_Part 1”
VIDEO: Exercises to Accompany “Solving Quadratic Equations By Completing the Square_Part 1_1”
In this video I work through a worksheet of practice problems dealing with the topic I covered in the video “Solving Quadratic Equations By Completing the Square_Part_1:
PDF File: Printable document of “Exercises to Accompany “Solving Quadratic Equations By Completing the Square_Part 1_1″”
VIDEO: Solving Quadratic Equations By Completing the Square_Part 2
This video follows from the previous videos and explores complex solutions to quadratic equations found by using the completing the square method.
VIDEO: Using Completing the Square to Put a Quadratric Function in Vertex Form f(x) = a(x-h)^2+k
In this video I show how to take a quadratic function in standard form (f(x) =ax^2+bx +c) and put it in vertex form f(x) = a(x-h)^2+k