Brian McLogan
Dividing two polynomials using synthetic division
π 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...
Brian McLogan
Using binomial expansion to expand a binomial to the sixth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Curated Video
Solving Equations with Rational Exponents
This video teaches how to solve equations with rational exponents by following the appropriate order of operations. It provides step-by-step explanations and examples, showing that solving complicated equations is not complicated as long...
KnowMo
Multiplying Across a Single Bracket: Techniques and Examples
The video is a lecture on how to multiply across a single bracket in algebra. The presenter explains the meaning behind brackets in algebraic expressions and gives an example to demonstrate this. The video then goes on to explain a...
Brian McLogan
Graphing Cosecant with a Change in the Period
π Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
How to add polynomials with grouping symbols
π 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
Determine the degree and leading coefficient of a polynomial not in descending order
π 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...
Brian McLogan
Determine and describe the discriminant
π Learn how to determine 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...
Brian McLogan
How to Use One Multiplier to Solve a System of Equations by Elimination
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Convert an equation from standard form to vertex form and then graph when a=3 ex 19
π Learn how to graph quadratic equations by completeing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Brian McLogan
Convert a quadratic to vertex form with fractions to graph
π Learn how to graph quadratic equations by completeing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Catalyst University
Hess's Law | Explanation & Example Problem #1
In this video, we do a Hessβs law example problem.
Brian McLogan
Learn how to classify and identify the lc and degree of a polynomial
π 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...
Brian McLogan
Classify a polynomial and determine degree and leading coefficient
π Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Curated Video
Factorizing Quadratics: Simple Cases
This is a tutorial on how to factorize simple quadratics. They define quadratic equations as equations or expressions where the highest power of the variable is 2, and explain that factorizing is the reverse of expanding the brackets....
FuseSchool
Factorising Quadratics
In this video weβre going to discover how to factorise quadratics. Quadratics are expressions with x2 as the highest power. Expanding and factorising are opposites. Factorising means to put into brackets, and with quadratics it is...
Brian McLogan
Using binomial expansion to expand a binomial to the fourth power
π Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Use binomial expansion to determine the 3rd term
π Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
What is end behavior of a polynomial
π 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
Dividing polynomials by synthetic division and rewriting using the division algorithm
π 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...
Brian McLogan
Master Solving a quadratic equation using the quadratic formula
Master Solving a quadratic equation using the quadratic formula
Brian McLogan
Finding the end behavior from a polynomial function
π 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
Factoring vs Completing the Square vs Quadratic Formula
πIn this video we will discuss the differences between solving a quadratic equation using factoring, quadratic formula and completing the square. When is one method preferred over another and how to use them to solve a quadratic equation...
KnowMo
Algebraic Notation and Collecting Like Terms
The video explains the concept of algebraic notation and how it is used as a language to communicate mathematical information. It demonstrates how letters are used to represent values or variables and how terms can be combined to create...