Instructional Video2:26
Brian McLogan

Identifying the vertex and axis of symmetry by completing the square

12th - Higher Ed
πŸ‘‰ Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Instructional Video7:07
Brian McLogan

Learn how to identify the focus and directrix by completing the square

12th - Higher Ed
Learn how to graph a parabola in when it is given in the general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we...
Instructional Video6:52
Brian McLogan

Learn how to solve a word problem by using factoring a quadratic

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video1:14
Brian McLogan

Learning how to factor a binomial using the difference of two squares

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Instructional Video4:29
Brian McLogan

Writing a quadratic from standard form to vertex form by completing square

12th - Higher Ed
πŸ‘‰ Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Instructional Video3:16
Brian McLogan

Graphing a quadratic equation using transformations

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video10:09
Curated Video

How to Conquer Completing the Square Part A

9th - 12th
Learn how to conquer solving a quadratic equation using the method completing the square. Part A, this video, will provide an organized list of steps to complete the square when a=1. The concept of perfect square trinomials will be...
Instructional Video2:06
Brian McLogan

Learn to find the solutions of a quadratic by applying the quadratic formula

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Instructional Video1:25
Brian McLogan

Factoring out a GCF so that you can apply the difference of two squares

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Instructional Video5:57
Brian McLogan

How to write the equation of a parabola given three points

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Instructional Video1:22
Brian McLogan

How to use zero product property to solve a quadratic in factored form

12th - Higher Ed
πŸ‘‰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 Video3:35
Brian McLogan

How to use the remainder and factor theorem for polynomials

12th - Higher Ed
πŸ‘‰ Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Instructional Video5:51
Brian McLogan

How to use long division to divide two polynomials

12th - Higher Ed
πŸ‘‰ Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Instructional Video5:12
Brian McLogan

Given the vertex and a point find the equation of a parabola

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Instructional Video5:19
Brian McLogan

Solve by completing the square

12th - Higher Ed
πŸ‘‰ 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 Video4:31
Brian McLogan

Solve a quadratic equation by completing the square with imaginary solutions

12th - Higher Ed
πŸ‘‰ 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 Video2:22
Brian McLogan

Simplify an expression using power to product and power to quotient rule

12th - Higher Ed
πŸ‘‰ Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Instructional Video4:15
Curated Video

GCSE Secondary Maths Age 13-17 - Algebra: Completing the Square - Explained

9th - 12th
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
Instructional Video8:52
Brian McLogan

Solving a quadratic equation by completing the square

12th - Higher Ed
πŸ‘‰ 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 Video4:33
Brian McLogan

Summary for solving a quadratic by completing the square

12th - Higher Ed
πŸ‘‰ 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 Video4:24
Brian McLogan

Learn to describe and solve for the zeros using completing the square

12th - Higher Ed
πŸ‘‰ 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 Video3:54
Brian McLogan

Completing the square to write a quadratic from standard form to vertex form

12th - Higher Ed
πŸ‘‰ Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Instructional Video13:38
Curated Video

Applications for Completing the Square

9th - 12th
This video is the third in a series relative to completing the square. This video will review how to use the method completing the square to write a quadratic equation in vertex form from standard form. Topics covered in this video: ...
Instructional Video3:19
Brian McLogan

Factoring a trinomial by first factoring out a negative 1

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...