Brian McLogan
Learn how to rewrite an expression using the value i, 5 - root(-24)
👉 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
Learn how to multiply two exponents with fraction powers by converting to radicals
👉 Learn how to multiply with rational powers. To multiply two or more numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and...
Brian McLogan
Multiplying radicals with imaginary numbers
In this video tutorial I show you how to multiply imaginary numbers. We will multiply monomials, binomials and trinomials together and then simplify. It is important when multiplying complex number that we simplify the answer and write...
Brian McLogan
Combining rational expression with unlike denominators
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Graph a rational function and determine the horizontal and vertical asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Find the domain and range of two functions dividing and composition
Find the domain and range of two functions dividing and composition
Brian McLogan
How to simplify imaginary numbers to a higher power
In this video series I show you how to simplify complex numbers to a higher power. We notice that i raised to a power repeats itself after the 4th degree. So we will divide the power in the problem by 4 and use the remainder to simplify...
Brian McLogan
How to simplify complex numbers by adding and subtracting
👉 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 the inverse of a square root function
👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
Find the inverse of a linear function then determine if the inverse is a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Curated Video
Applications for Completing the Square
This video is the third in a series relative to completing the square. This video will review how to use the method completing the square to write a quadratic equation in vertex form from standard form. Topics covered in this video:...
Curated Video
Derive the Quadratic Formula
In this video I will derive the Quadratic Formula by Completing the Square to the standard form for a quadratic equation. Have you ever wondered where the quadratic formula came from? Do you struggle to understand why such a complicated...
Professor Dave Explains
Practice Problem: Box Sliding Down a Ramp
Lisa, are you serious? Alright, just one more favor. This one is a little trickier than the previous, because there is some trigonometry involved, beyond the kinematics and friction from the previous problems. What will become of your...
Curated Video
Reasoning with Exponents and Radicals
In this short video we will answer a standardized math test question where we are asked to find the value of the unknown variable in a given equation for different situations. We will review the terms power, base, exponent, square root,...
Math Fortress
Differential Equations: Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how...
Math Fortress
Calculus II: Trigonometric Integrals (Level 7 of 7)
This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the...
Brian McLogan
What is the discriminant and what does it mean
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Brian McLogan
Right Triangles | Trigonometry | Pre-Calculus
In this lesson I will show you how evaluate the six trigonometric functions with right triangles. We will begin by finding the missing side of a triangle with the pythagorean theorem and then transcend into identifying the sides of a...
Brian McLogan
Finding the zeros of a function - Zeros of polynomial function
👉 Learn how to find all the zeros of a polynomial in the form of the difference of two squares. 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...
Brian McLogan
What do I need to know to solve a quadratic by 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
Solving a quadratic by applying the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Proof of the Quadratic Formula through Completing the Square
The video is a tutorial on the proof of the quadratic formula. The speaker explains the formula and then proceeds to demonstrate how it is derived through the process of completing the square.