Brian McLogan
Factor a Trinomial by First Factoring Out a Negative
👉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
Determine if a quadratic has a max or min as it's vertex
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Compose a quadratic function into a square root function
Compose a quadratic function into a square root function
Brian McLogan
How to divide polynomials using synthetic division
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Inequality - 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
How to find the inverse of functions by using restrictions
How to find the inverse of functions by using restrictions
Curated Video
Sketching Quadratics with a ≠ 1: Finding Turning Points and Intercepts
The video is a lecture presentation on how to sketch quadratic graphs when the value of "a" is not equal to 1. The lecturer explains the basics of quadratic graphs, including their U or N shapes, turning points, and lines of symmetry....
FuseSchool
Quadratic Sequences: nth Term
In this video we look at quadratic sequences, and how to find the nth term for them. In quadratic sequences, the first difference changes every time. So instead, we look at the second differences. If the second difference is constant,...
Brian McLogan
Learn how to solve a word problem by using factoring a quadratic
👉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...
Brian McLogan
how to factor a quadratic with three terms using a box
👉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...
Brian McLogan
Learning how to factor a binomial using 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
How to reorder and classify a polynomial based on it's degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Brian McLogan
How to find the x intercepts (solutions) of a quadratic in vertex form
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to find the discriminant of a quadratic and label the solutions
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type...
Brian McLogan
What is intercept form
👉 Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
Writing a quadratic from standard form to vertex form by completing square
👉 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...
Brian McLogan
Learn How to Factor a Polynomial to Third Power to Determine Zeros
👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Dividing Polynomials using synthetic division
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
How to describe and graph a vertical translation of a quadratic function
👉 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...
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...
Brian McLogan
Given a Zero Determine the Remaining Zeros of a Polynomial
👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Curated Video
Solving Simultaneous Equations with a Quadratic: The Substitution Method and the Discriminant
This video is a lecture presentation on how to solve simultaneous equations involving a quadratic. The speaker explains what simultaneous equations are and how they involve two or more unknowns with the same values in each equation. They...
Brian McLogan
How to find the center and radius of a circle in standard form
Learn how to graph the equation of a circle by completing the square. Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the...