Brian McLogan
Finding the rule for a sequence with alternating powers
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Curated Video
Complete Java SE 8 Developer Bootcamp - Scope-Part 1
Learn how to recognize the scope which defines the lifecycle and accessibility of state of a variable in a class. This clip is from the chapter "Static, Scope, and Garbage Collection" of the series "Complete Java SE 8 Developer...
Brian McLogan
Using operations to simplify polynomials
👉 Learn how to add and subtract polynomials by either using the vertical or horizontal method.
Brian McLogan
How to add polynomials with grouping symbols
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Learn how to add polynomials
👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Easy method to subtract polynomials by converting to an addition problem
👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Learn how to use the side lengths of a rectangle to solve quadratic equation by factoring
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
What is the definition of a polynomial with examples and non examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Brian McLogan
Determine the degree and leading coefficient of a polynomial not in descending order
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Let's Tute
Solving Arithmetic Progression Problems
This video is a tutorial on how to solve problems related to arithmetic progression. The teacher explains the two fundamental formulas and how to identify the parameters needed to solve the problems. They provide examples and tips on how...
Brian McLogan
Determine end behavior of a polynomial
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Classifying polynomials and then determining the end behavior
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Expressing the sum using sum notation of a geometric series
👉 Learn how to write the sum from a geometric series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given...
Brian McLogan
Dividing two rational expressions by factoring
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
How to determine the infinite sum of a geometric series
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
How to determine the sum of a finite geometric sequence
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - 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...
Sustainable Business Consulting
Sustainable Design
Describes two ways that companies can re-think their design and operational strategies to find innovation and cost savings
Catalyst University
Quantum Mechanics | Commutation of Operators [Example #2]
In this video, I do one example for determining whether or not two quantum operators commute [position & momentum (x-dir)]. Previous example (Example #1): https://youtu.be/tCd2U-ACr9o
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
Applying the diamond method to solve a quadratic equation when a=1
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
What do I have to know to solve 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
Learn how to factor 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
Learn how to classify and identify the lc and degree of a polynomial
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...