Instructional Video7:07
Brian McLogan

Completing the square in three examples

12th - Higher Ed
๐Ÿ‘‰ Learn how to complete the square to solve a quadratic equation. Completing the square is allows us to create a binomial squared so that we can solve using the square root method. Solving by completing the square is preferred when a...
Instructional Video7:57
Brian McLogan

Solving an equation by completing the square

12th - Higher Ed
๐Ÿ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video1:56
Brian McLogan

How to factor a quadratic in your head when a=1

12th - Higher Ed
๐Ÿ‘‰Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Instructional Video2:18
Brian McLogan

Solve using the perfect square trinomial factoring technique

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Instructional Video1:35
Brian McLogan

Solving a factored quadratic equation using the zero product property

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Instructional Video2:01
Brian McLogan

Find the value that creates a perfect square trinomial

12th - Higher Ed
๐Ÿ‘‰ Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Instructional Video10:20
Curated OER

How was the Quadratic Formula Derived?

6th - 12th
If you or your class members are interested in how the quadratic formula is derived, then take a look at this video! The tutorial takes you through each step necessary to derive the quadratic formula from the general form for a quadratic...
Instructional Video8:54
Curated OER

How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?

8th - 11th
The quadratic equation x2,3,4x + 5 = 0 is solved by completing the square in this video. Two complex solutions are found and are checked in the original equation to verify that they are solutions.
Instructional Video1:46
Curated OER

What's the Formula for the Square of a Sum?

8th - 9th
The teacher uses the FOIL method to multiply out the square of a sum to prove the equation.
Instructional Video1:52
Curated OER

What's the Formula for the Square of a Difference?

8th - 9th
The teacher uses the FOIL method to multiply out the square of a difference to prove the equation.
Instructional Video
Khan Academy

Khan Academy: Algebra Ii: Recognizing a Perfect Square Quadratic

9th - 10th Standards
Demonstrates how to solve a quadratic equation by factoring where the first step is to set the equation equal to zero. The quadratic polynomial in the example is a perfect square trinomial. [3:19]
Instructional Video
Khan Academy

Khan Academy: Algebra: Completing the Square 1

9th - 10th Standards
Demonstrates how to use the completing the square method to identify a constant value for a given trinomial to create a perfect square trinomial. Practice problems available. [3:22]
Instructional Video
Khan Academy

Khan Academy: Algebra: Completing Perfect Square Trinomials

9th - 10th
Explains how to use the completing the square method to determine what constant value can be added to a given polynomial to create a perfect square trinomial. [3:28]
Instructional Video
Khan Academy

Khan Academy: Algebra: Special Products of Polynomials 2

9th - 10th Standards
Video illustrates how to find the square of a binomial difference to represent the area of a given square. [5:12]
Instructional Video
Khan Academy

Khan Academy: Algebra: Special Products of Polynomials 1

9th - 10th Standards
Video demonstrates how to find the square of a binomial sum. [3:19]
Instructional Video
Khan Academy

Khan Academy: Algebra: Factoring Perfect Square Trinomials

9th - 10th
Video demonstrates how to recognize and factor perfect square trinomials. [4:54]
Instructional Video
Khan Academy

Khan Academy: Algebra: Factoring Special Products 2

9th - 10th
Video demonstrates how to recognize and factor perfect square trinomials. The example problem is in the form ax^4 - bx^2 + c. [2:25]
Instructional Video
Khan Academy

Khan Academy: Algebra: Square a Binomial

9th - 10th Standards
Video demonstrates how to find the square of a binomial as a special case of multiplying binomials. [3:38]
Instructional Video
Khan Academy

Khan Academy: Completing Perfect Square Trinomials

9th - 10th
Completing Perfect Square Trinomials.
Instructional Video
Khan Academy

Khan Academy: Quadratic Odds and Ends: Ca Algebra I: Factoring Quadratics

9th - 10th Standards
This video demonstrates an understanding of factoring quadratic equations.
Instructional Video
Instructional Video
Khan Academy

Khan Academy: Square a Binomial

9th - 10th Standards
Video demonstrates how to find the square of a binomial as a special case of multiplying binomials.