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Brian McLogan
Find The Vertical, Horizonal and Slant Asmptote of Rational Expression
In this video we are going to explore how to find the vertical, horizontal and slant asymptotes of Rational Functions as well as the x and y intercepts
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Behavior of power functions
In this video, we look for patterns in the end behavior of power functions by examining the leading coefficient and the exponent.
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End Behavior of Polynomial Functions
In this video, we use our knowledge of power functions to predict the end behavior of polynomial functions.
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Converting Standard to Vertex Form (and Graphing)
In this video, we convert standard form to vertex form, then graph the quadratics.
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Putting it all together 2
The video shows how to graph a 4th‑degree polynomial using its leading term, rational root theorem, and synthetic division:
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Solve Trig Equation with Unit Circle (4 examples)
How do I solve trig equations using the unit circle? Sometimes, we can solve sine and cosine equations without a calculator. To do this, we just have to reference the unit circle. This video solve four examples.
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Completing the Square
This video shows students how to complete the square with any leading coefficient.
Brian McLogan
My Five Step Method For Graphing a Rational Expression 5 Step Method
In this video I will go over my five step method for graphing a rational expression. We will work on the steps one by one.
Brian McLogan
End Behavior Review
In this video we are going to review how to find and write the end behavior of polynomials. We will do this by covering a couple of basic examples and then work our way up to some more advanced examples
⭐ Completing the...
⭐ Completing the...
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Solving Quadratic Equations with No Real Solutions Using Completing the Square
In this video, the teacher explains how to solve a quadratic equation with no real solutions using the method of completing the square. They also review complex numbers and common mistakes to avoid when dealing with leading coefficients....
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Factoring Quadratic Functions to Reveal Zeros
In this video, the teacher explains how to factor a quadratic function to reveal its zeros. They demonstrate the process step by step and provide examples for better understanding.
Brian McLogan
How to evaluate the limit to infinity of a rational function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Solve a quadratic using the quadratic formula with complex answers
👉 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...
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Factor Theorem
This nugget explains the proof of the Factor theorem. It includes problems and their solutions based on the theorem.
Brian McLogan
How to determine the extrema and zeros from the graph of a polynomial
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
What information can you learn from the graph of a polynomial
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
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...
Brian McLogan
Determining if a function is a polynomial or not then determine degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
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Finding Polynomial Equations Using Zeros
In this lesson, students will learn how to mathematically model an arched bridge by finding a second degree polynomial equation using the zeros of its graph. They will understand how to determine the X intercepts and the line of...
Brian McLogan
How to determine the degree and leading coefficient given the graph of a polynomial
👉 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...
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Completing the Square to Reveal the Minimum When a > 1
In this lesson you will learn how to rewrite a quadratic function to complete the square. By going through this process, we will reveal the minimum value.
Brian McLogan
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Curated Video
Completing the Square in Quadratic Expressions with Leading Coefficient Not Equal to 1: Area Model
In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...