Brian McLogan
Learning how to determine end behavior of any polynomial
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Learn the easy way how to simplify a complex fraction multiplying by the reciprocal
π Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
Learn how to simplify a complex fraction in easy way
π Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
Identifying the vertex and axis of symmetry by completing the square
π 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...
Brian McLogan
Learning step by step how to divide polynomials using synthetic division
π 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 simplify roots with imaginary numbers and simplify complex numbers
π Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...
Brian McLogan
Find All the Zeros of a Polynomial To the Fourth Gegree
π Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
Factoring a binomial using the difference of two cubes
π Learn how to factor polynomials using the sum or difference of two cubes. 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. To factor an...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - 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 logarithmic equation with one solution
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Learn how to find the vertex, focus and directrix
Learn how to graph a parabola in when it is given in 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 can...
Brian McLogan
How to find the inverse of functions by using restrictions
How to find the inverse of functions by using restrictions
Curated Video
Creating and Solving Exponential Equations Using a Table of Values
In this lesson, students will explore the concept of exponential growth and decay by analyzing population data and applying it to real-life scenarios, such as calculating the time it takes for a bank account balance to double. By...
Curated Video
Making Smoothie (Representing the product of a whole number and a fraction using area models)
Devon is making a smoothie. The recipe calls for two thirds of a cup of yogurt. He wants to make smoothies for a few of his friends as well, so he decides to make four times the amount, or in other words multiply the recipe by four. How...
Brian McLogan
What is PEMDAS or GEMDAS
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
Combining like terms of an expression ex 1, 11ab + 3ab^3 - 8ab
π Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
KnowMo
How to Find the Highest Common Factor: Prime Factor Decomposition Method
This video is a lecture on the topic of the highest common factor (HCF). The presenter discusses what HCF is and how it is applied to a pair or set of numbers. They provide examples of finding the HCF of two numbers by listing their...
Brian McLogan
Using the additions of two angles and cosine
π Learn how to evaluate the cosine of an angle in radians 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
Breaking down the square root of forty, sqrt(40)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to solve a word problem by using factoring a quadratic
πLearn 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 do you factor a perfect square trinomial
πLearn how to factor perfect square trinomials. Perfect square trinomials are formed when binomials are multiplied by themselves. To factor an algebraic expression means to break it up into expressions that can be multiplied together to...
Brian McLogan
Rewriting a perfect square trinomial as a binomial squared
πLearn 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...
Brian McLogan
Learning how to factor a binomial using the difference of two squares
πLearn 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 the easiest way to factor a trinomial when a=1
πLearn 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...