Brian McLogan
Learning to solve a quadratic by factoring a perfect square trinomial
👉Learn 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
Learn how to factor 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
Factoring 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
Find the zeros and y intercept of the quadratic
👉 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...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Factorising 2 - 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...
Curated Video
Statistics for Data Science and Business Analysis - What is R-Squared and How Does it Help Us?
In this video, you will learn about R-squared and its features. This clip is from the chapter "Subtleties of Regression Analysis" of the series "Statistics for Data Science and Business Analysis".This section explains the Markowitz...
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
What do I need to know to multiply and divide rational expressions
Learn how to multiply/divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to multiply two fractions, we multiply the numerators...
Brian McLogan
How to use the remainder 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
How to divide two rational expression by using the division property
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Solving an equation with a logarithm on both sides
👉 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
Learning to Graph a Piecewise Function With Transformations
👉 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
Learn to make the rational piecewise function continous
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
Determine If an Equation is Even or Odd With a Root
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
How to write a hyperbola in vertex form and determine the center, vertices and foci
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...
Curated Video
Sketching the Graph of Higher Degree Polynomial Functions
In this lesson, students learn how to sketch the graph of higher degree polynomial functions by finding the x-intercepts and determining the end behavior. They are guided through the process of setting the polynomial equal to zero,...
Brian McLogan
How and when to apply synthetic division of two polynomials
👉 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
Analyzing the Multiplicity of Roots and Sign Changes in Functions
In this lesson, students will learn how the multiplicity of roots affects the graph of a function. They will understand that a double root splits the graph into two intervals with positive Y values on both sides, while roots with odd...
Psychology Unlocked
What is Intelligence? Three Influential Psychology Theories
The question of what intelligence actually is has intrigued Psychologists and Philosophers for thousands of years. We use intelligence as a measure of people's abilities and potential in day-to-day life, but how many of us have actually...
The Wall Street Journal
The View From Washington: Part II
Here's what's on the White House's agenda, at a time when trade tariffs and other global trends are clouding the outlook for U.S. agriculture.
Brian McLogan
Determine the missing value for the length on a secant line using a tangent line
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Curated Video
Algebraic Simplification: Cancelling and Factorization
This is a lecture presentation on algebraic simplification, specifically on cancelling and factorization. The presenter advises tackling numerical values first, then applying the laws of indices to simplify variables. The video includes...
Brian McLogan
Factor and use fundamental identities to simplify
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Solve trigonometric equation by factoring with sine and cosine
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...