Completing the Square by Factoring Out a Two

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Taught by mrbrianmclogan
  • Currently 3.0/5 Stars.
4680 views | 1 rating
Part of video series
Meets NCTM Standards:
Errors in this video:

At about the 1:18 mark, the teacher writes on the board that b/2 is (1/2)/2, but he should have written (-1/2)/2.

At about the 2:22 mark, the teacher writes that b/2=1/4; he should have written b/2=-1/4

Lesson Summary:

In this lesson, the teacher explains how to complete the square by factoring out a two. The teacher shows how to write the function as a perfect square trinomial and how to find the vertex. Additionally, the teacher briefly explains how to solve the equation using the quadratic formula.

Lesson Description:

Completing the square by factoring out a two

I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.

Questions answered by this video:
  • How do I complete the square when there is a coefficient in front of the x^2 term?
  • How do I find the vertex of a quadratic function that is written in ax^2+bx+c form?
  • How do I find the zeros of a quadratic function?
  • How do I complete the square for the function 2x^2-x+1?
  • What is the vertex of 2x^2-x+1?
  • What are the zeros of 2x^2-x+1?
  • Staff Review

    • Currently 3.0/5 Stars.
    This lesson shows how to complete the square on a quadratic function when the x^2 term has a coefficient. Then it shows how to find the vertex of the parabola that the function represents. Lastly, it shows how to find the zeros of the function after you complete the square.