Sustainable Business Consulting
The Importance of Marketing and Being Authentic
Discusses the current state of consumer buying power and why it is so important to leverage your sustainability performance and avoid greenwashing
Curated Video
Reductionism
Based around the example of obesity, this film outlines the key ideas underpinning reductionist and holistic approaches in the social sciences.
Brian McLogan
How to use implicit differentiation on an equation for dy dx
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Given two triangles in the 2nd quadrant evaluate the sum of the angles
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Curated Video
Completing the Square with a > 1: Using Models and Symbols
Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...
msvgo
Factor Theorem
This nugget explains the proof of the Factor theorem. It includes problems and their solutions based on the theorem.
Curated Video
Graphing Quadratic Functions
In this lesson, students will learn how to graph a quadratic function by using the zeros of the function. By understanding the relationship between the area of squares and the zeros of the function, students can easily plot points on a...
Brian McLogan
How to find all the roots of a polynomial by factoring
👉 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
Given three real zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)
👉 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
Domain of a rational function by factoring
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
How to Use the Double Angle Formula to Solve for the Values of X
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Using zero product property to solve for tangent with a multiple angle
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
Solving a trigonometric equation by factoring
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Convert a rectangular equation to polar form
Convert a rectangular equation to polar form
Brian McLogan
Solve a quadratic by applying the square root method
👉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
Given a list of three zeros find the factors of the polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Given a Complex Zero Find the Remaining Zeros Using Long Division
👉 Learn how to find all the zeros of a polynomial given one complex 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...
Brian McLogan
How to find the domain of a rational equation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Curated Video
Completing the Square Using Algebra
In this video, you will learn how to complete the square using algebra. We go through the steps to determine the values of A, B, and C in a quadratic expression and how to use them to complete the square. Through these examples, you will...
Curated Video
Finding X Intercepts of Polynomial Functions by Analyzing Factors
This video explains the concept of X intercepts and their relationship to the factors of a polynomial function. They demonstrate how to find the X intercepts graphically and algebraically by setting the function equal to zero and...
Brian McLogan
Evaluate the limit of a rational expression with a hole
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Apply the equality property of logarithms to solve an equation, log13 (x^2 -4)=log13 (3x)
👉 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...