Brian McLogan
Graphing a quadratic equation using transformations
👉 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...
Curated Video
How to Conquer Completing the Square Part A
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...
Brian McLogan
Factoring out a GCF so that you can apply the difference of two squares
👉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...
Brian McLogan
Learn to find the solutions of a quadratic by applying the quadratic formula
👉 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...
Brian McLogan
How to write the equation of a parabola given three points
👉 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...
Brian McLogan
How to use zero product property to solve a quadratic in factored form
👉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...
Brian McLogan
How to use the remainder and factor theorem for polynomials
👉 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...
Brian McLogan
Given the vertex and a point find the equation of a parabola
👉 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...
Brian McLogan
How to use long division to divide two polynomials
👉 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...
Brian McLogan
Solve by completing the square
👉 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...
Brian McLogan
Solve a quadratic equation by completing the square with imaginary solutions
👉 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...
Brian McLogan
Simplify an expression using power to product and power to quotient rule
👉 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...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Completing the Square - Explained
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 steps. This video...
Brian McLogan
Solving a quadratic equation by completing the square
👉 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...
Brian McLogan
Summary for solving a quadratic by completing the square
👉 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...
Brian McLogan
Learn to describe and solve for the zeros using completing the square
👉 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...
Brian McLogan
Completing the square to write a quadratic from standard form to vertex form
👉 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...
Curated Video
Applications for Completing the Square
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:...
Brian McLogan
Factoring a trinomial by first factoring out a negative 1
👉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...
Brian McLogan
How to find the foci, center and vertices, and asymptotes of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Completing the square to identify the max,min, vertex and axis of symmetry
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Brian McLogan
Learn how to find all the possible rational zeros of a polynomial
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
How to divide a trinomial into a polynomial using long division
👉 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...
Brian McLogan
Standard form to vertex form of a quadratic function
👉 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...