Curated Video
Understanding Closed Operations for Polynomials
In this video, the teacher explains the concept of closed operations for polynomials. They demonstrate how addition, subtraction, and multiplication of integers and natural numbers result in solutions that are still within the same set....
Why U
Pre-Algebra 21 - Exponentiation
Exponentiation is shorthand for repeated multiplication, just like multiplication is shorthand for repeated addition. Multiplied or divided exponential terms with like bases can be combined by adding or subtracting their exponents.
Curated Video
Solving Multistep Problems with Positive and Negative Rational Numbers: A Practical Approach
In this video, the teacher explains how to solve multistep problems involving positive and negative rational numbers using the order of operations. The teacher addresses common mistakes students make, such as confusion with addition and...
Brian McLogan
Learn how to identify the domain by combining 2 functions, sine and radical function
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learn to find the value that makes the piecewise function differentiable and continuous
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
Learn how to simplify an expression to find the derivative
👉 Learn how to find the derivative of a function using the power rule. 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...
Brian McLogan
Write the equation of a line tangent to a polynomial through a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Curated Video
Subtracting Complex Numbers: Combining Like Terms
In this video lesson, you will learn how to subtract complex numbers by combining like terms. Complex numbers consist of a real term and an imaginary term with the letter "i". By treating "i" as a variable, you can easily subtract...
Brian McLogan
Learn how to eliminate the parameter and identify the rectangular graph
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Curated Video
Solving Multistep Problems with Positive and Negative Decimals Using the Order of Operations
In this video, the teacher explains how to solve multistep problems with positive and negative decimals using the order of operations. They emphasize the importance of understanding the correct order of operations rather than relying on...
Brian McLogan
Particular solution of differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
Finding the derative of a function using the power rule
👉 Learn how to find the derivative of a function using the power rule. 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...
Curated Video
Predicting Solutions of Linear Equations
In this video, the teacher explains how to predict the number of solutions in linear equations by identifying key features. They demonstrate examples of equations with one solution, no solutions, and infinitely many solutions,...
Brian McLogan
How to add two functions reciprocal functions and find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Finding Zeros of Polynomial Equations: Factoring and Zero Product Property
In this video, the teacher explains how to find zeros of polynomial equations by factoring and using the zero product property. They demonstrate the process with examples, breaking down the steps and showing how to determine the correct...
Curated Video
Finding Zeros of Polynomials Using Graphing Calculators
In this video, the teacher explains how to find the zeros of a polynomial function using a graphing calculator. They demonstrate the process of long division to determine factors and use the quadratic formula to solve quadratic...
Brian McLogan
Find the values a and b that make the function differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Curated Video
Subtracting Multiples of 100 Using a Number Line
In this video, students learn how to subtract multiples of 100 from a number using a number line. The teacher explains the concept by demonstrating with various examples and encourages students to use their knowledge of place value to...
Curated Video
Writing Quadratic Equations Using Points on the Parabola
In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...
Brian McLogan
Adding two functions one root one linear then find domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Determining Independence of Events A and B Using Complements
In this lesson, students will learn how to determine if events A and B are independent by using the complement strategically. The lesson covers the conditional probability formula and the concept of independence. It also addresses common...
Curated Video
Deriving the Quadratic Formula by Completing the Square
In this video, the teacher explains how to derive the quadratic formula by completing the square. The steps are broken down and explained clearly, making it easy for students to understand.
Curated Video
Combining Functions: Adding and Subtracting Graphs
In this lesson, students will learn how to combine the graphs of two functions by adding and subtracting. They will understand how to find the new function by adding or subtracting the expressions for each function. Additionally, they...
Brian McLogan
Solve an equation using 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...