Instructional Video2:40
Brian McLogan

How to determine the end behavior from the product of factors

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 Video18:36
Brian McLogan

Zeros, intercepts, end behavior of a polynomial in vertex form

12th - Higher Ed
Zeros, intercepts, end behavior of a polynomial in vertex form
Instructional Video3:02
Brian McLogan

Writing the polynomial in standard form so that you can find end behavior

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 Video2:16
Brian McLogan

Writing the end behavior of a polynomial using limits

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 Video36:18
Brian McLogan

Characteristics of Functions | Functions | Pre-Calculus

12th - Higher Ed
In this video I decided to record myself creating the answer key for my students that I will be providing them in school. I cover the basics of what makes up a function as well as how to mathematically describe the function.
Instructional Video5:13
Brian McLogan

Learn how to write the end behavior from a polynomial in factored form

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 Video5:14
Brian McLogan

Learn how to sketch the graph of a polynomial given factored form using 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 Video2:59
Brian McLogan

Learn how to find the end behavior given a graph of a polynomial

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 Video6:58
Brian McLogan

Sketching the graph of a polynomial using the zeros 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 Video4:52
Brian McLogan

Using the remainder theorem and checking your answer with synthetic division

12th - Higher Ed
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Instructional Video3:22
Brian McLogan

How to find the end behavior of a polynomial in factored form

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 Video4:18
Brian McLogan

Graphing a quadratic function in vertex form with multiple transformations

12th - Higher Ed
👉 Learn how to graph quadratic equations in vertex form. 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 can either...
Instructional Video3:12
Brian McLogan

Sketch the graph of a factored polynomial using 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 Video1:24
Brian McLogan

Applying the rules of exponents to multiply to monomials

12th - Higher Ed
👉 Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
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 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 Video6:58
Brian McLogan

T Misconceptions with Characteristics of Functions

12th - Higher Ed
T Misconceptions with Characteristics of Functions
Instructional Video8:59
Brian McLogan

Learn how to solve a polynomial using the difference of two cubes and quadratic formula

12th - Higher Ed
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
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 Video2:59
Brian McLogan

How to expand a polynomial in factored form to determine the end behavior

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 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...