Brian McLogan
Solving a quadratic equation by factoring using the ac method
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Proof - 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...
FuseSchool
Factorising Quadratics
In this video we’re going to discover how to factorise quadratics. Quadratics are expressions with x2 as the highest power. Expanding and factorising are opposites. Factorising means to put into brackets, and with quadratics it is...
Brian McLogan
What is binomial expansion
👉 Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand...
Brian McLogan
Using binomial expansion to expand a binomial to the fourth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Use binomial expansion to determine the 3rd term
👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Write the equation of an ellipse with the given vertices & passes through a point
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Write the equation of a parabola given vertex and directrix
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Identify the focus and directrix of a parabola
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Graph piecewise functions with a hole
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Given the equation of a parabola in standard form, learn how to graph & identify the focus
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
SAT ACT Prep What is the area of the shaded region
SAT ACT Prep What is the area of the shaded region
Brian McLogan
Factoring a polynomial to the fourth power using factoring to second power
👉 In this polynomial, I will show you how to factor different types of polynomials. Such as polynomials with two, three, and four terms in addition to polynomials to the second third, fourth, fifth, and sixth power.
Brian McLogan
Learn how to find the exact value of an angle using sum formula for tangent
👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to apply the 2nd ftc with secant squared
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Simplifying the difference quotient
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Converting an equation from rectangular to polar
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
Multiplying Two Binomials - Math Tutorial
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
What to never do in your math class - Most common algebra mistakes
👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
Simplify radicals simplify square root of a trinomial radicand
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Learn How to Multiply a Binomial by a Trinomial and Simplify Your Answer
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Brian McLogan
Simplifying a radical expression with absolute value root
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Learn how to add two different polynomials by adding like terms
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Dividing polynomials by synthetic division and rewriting using the division algorithm
👉 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...