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...
Brian McLogan
Solve by factoring when a is greater than one
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...
Brian McLogan
Learn how to use a rectangle to factor and solve a quadratic equation
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...
Brian McLogan
How do you factor using the difference of two squares
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
Factoring practice - Learn how to factor - Step by step math instruction
👉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
Factoring out using the diamond method when a is greater than one
👉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
What is factoring by the difference of two squares then solving
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Summary for solving using the difference of two squares
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Summary for solving a quadratic by factoring out a GCF
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Solving using the square method but first factoring out a gcf ex 11, y = 2x^2 - 50
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
Solving a quadratic equation by factoring GCF
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
Learn how to factor a trinomial in your head using guess and check
👉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
Factoring out the GCF of a quadratic to solve using zero product property
👉Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
👉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
Factoring 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
Solving 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...