Instructional Video3:11
Brian McLogan

Learn how to add two rational expressions by finding the LCD

12th - Higher Ed
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Instructional Video16:08
Brian McLogan

Multiple Examples on determining the asymptotes of rational functions

12th - Higher Ed
Multiple Examples on determining the asymptotes of rational functions
Instructional Video1:41
Brian McLogan

Learn how to reorder a polynomial and determine the degree and leading coefficient

12th - Higher Ed
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Instructional Video2:38
Brian McLogan

How to write a polynomial in standard form when divided by a number

12th - Higher Ed
👉 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...
Instructional Video0:54
Brian McLogan

How to apply multiplication to write polynomial in standard form and find degree

12th - Higher Ed
👉 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...
Instructional Video7:01
Brian McLogan

Learn how to solve a rational equation and check your solutions

12th - Higher Ed
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Instructional Video11:05
Brian McLogan

How to graph a rational function using 6 steps

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video6:21
Brian McLogan

Graph the polynomial given polynomial and using multiplicity and end behavior

12th - Higher Ed
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...
Instructional Video1:45
Brian McLogan

How to identify the LC, degree and end behavior of a polynomial with classification

12th - Higher Ed
👉 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...
Instructional Video21:59
Brian McLogan

Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power

12th - Higher Ed
Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power
Instructional Video16:43
Brian McLogan

What is important to know about polynomials?

12th - Higher Ed
What is important to know about polynomials?
Instructional Video3:06
Brian McLogan

Determining the possible rational zeros using the rational zero test

12th - Higher Ed
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Instructional Video4:56
Brian McLogan

How to sketch the graph a polynomial using factors and multiplicity

12th - Higher Ed
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...
Instructional Video2:14
Brian McLogan

Find all the asymtotes and intercepts of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video8:45
Brian McLogan

Using end behavior, zeros and the intermediate value theorem to graph a polynomial

12th - Higher Ed
👉 Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division as well as identify the multiplicity of each...
Instructional Video5:16
Brian McLogan

What is the leading coefficient of a polynomial

12th - Higher Ed
👉 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...
Instructional Video5:13
Brian McLogan

Determining the asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video2:08
Brian McLogan

Identify any horizontal or vertical asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video4:44
Brian McLogan

Learn how to graph a rational function without any symmetry

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video2:35
Brian McLogan

Learn how to find the horizontal asymptote

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video1:33
Brian McLogan

Learn to find the end behavior from a graph in formal form

12th - Higher Ed
👉 Learn how to determine the end behavior of a polynomial function from the graph of the function. To do this we look at the endpoints of the graph to see if it rises or falls as the value of x increases. If the graph of the polynomial...
Instructional Video2:12
Brian McLogan

Learn to write the end behavior of a polynomial using limit notation

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Instructional Video10:15
Brian McLogan

Learn how to graph a rational function with a oblique asymptote

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video7:12
Brian McLogan

Master Labeling the Degree and Leading coefficient of a polynomial

12th - Higher Ed
Master Labeling the Degree and Leading coefficient of a polynomial