Brian McLogan
3 Hard Rational Expressions to Add or Subtract
In this video we will focus on adding and subtracting rational expressions that are difficult to combine because we need to factor their denominators to identify the LCD. 00:00:00 - Intro 00:02:23 - Tip to slow down doing your math...
Brian McLogan
Completing the Square Easy Medium Hard
In this video we will work on completing the square but working from basic to more advanced problems where a is not 1 as well as when ⭐️ Must Know Tip When Completing the Square - • Must Know Tip When Completing the Square ✔️ Completing...
Brian McLogan
Factor the trinomial fast without substitution
In this video I don't follow common practice of using substitution but follow a technique I love to show my students once they understand factoring and substitution. ⭐️ Why we reciprocate negative exponents why flip - • Why we...
Curated Video
Combining Factoring Techniques
“Combining Factoring Techniques” illustrates how to use different techniques of factoring to fully factor polynomial equations.
Why U
Algebra 85 - Building Polynomial Functions
Because of the tremendous variety of shapes of their graphs, polynomial functions are important tools for modeling phenomena in a wide range of fields such as science, engineering, medicine and finance. But since polynomial functions are...
Why U
Algebra 86 - Graphing Polynomial Functions - Part 1
Calculators and graphing utilities are available that are capable of creating accurate graphs of polynomial functions. However, it is often desirable to sketch a quick representation of a function's graph to get a general idea of its...
Why U
Algebra 84 - Monomial Building Blocks of Polynomial Functions
A polynomial is a sum of one or more terms called monomials. If we think of each monomial as a separate function, then a polynomial function can be thought of as a sum of these monomial functions. In previous lectures we have studied...
Curated Video
Finding Zeros of a Quadratic Function by Factoring a Trinomial
In this video, the teacher explains how to find the zeros of a quadratic function by factoring a trinomial. They explain the zero product property and the importance of factoring completely. They then demonstrate how to apply these...
Curated Video
Rewriting Rational Expressions to Find Missing Dimensions
In this video, the teacher explains how to find missing dimensions in area or volume problems by rewriting rational expressions. The lesson covers factoring and long division techniques to simplify expressions and determine the width,...
Curated Video
Finding X-Intercepts of Quadratic Functions by Factoring
In this video, the teacher explains how to find the x-intercepts of a quadratic function by factoring. They clarify the difference between y-intercepts and x-intercepts and demonstrate how to use the zero product property to find the...
Curated Video
Determining Rational X Intercepts of Quadratic Functions through Factoring
In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...
Brian McLogan
How to find the domain of a rational function - domain and range
👉 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
Solving a trigonometric equation with half angle formulas
👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Brian McLogan
Find the derivative using the product rule trinomial by binomial
👉 Learn how to find the derivative of a function using the product 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...
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
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
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 list of 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
Left hand Limit of a rational function at a hole
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Find the vertex and x intercepts of a quadratic
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
How to classify polynomials
👉 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...
Curated Video
Finding the Minimum Value of a Quadratic Function by Completing the Square
This video explores the process to find a minimum value in a quadratic function by completing the square. We use two examples and highlight common mistakes to avoid. By rewriting the function in a different form, the minimum value...
Brian McLogan
Quadratic Equations | Solve by factoring | Free Math Videos
Quadratic Equations | Solve by factoring | Free Math Videos
Brian McLogan
Using binomial expansion to expand a binomial to the fourth degree
👉 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...