Instructional Video2:50
Brian McLogan

What is end behavior 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 Video1:47
Brian McLogan

Determine end behavior 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 Video4:09
Brian McLogan

Dividing polynomials by synthetic division and rewriting using the division algorithm

12th - Higher Ed
👉 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...
Instructional Video9:09
Brian McLogan

End Behavior of Functions

12th - Higher Ed
End Behavior of Functions
Instructional Video10:36
Brian McLogan

How do you find the vertical and horizontal asymptotes of a rational function

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video4:23
Brian McLogan

Finding the end behavior from a polynomial function

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 Video6:37
Curated Video

Factor and Remainder Theorems: Using the Remainder Theorem to Find Remainders in Polynomials

Higher Ed
This video provides an explanation and demonstration of the factor and remainder theorems in mathematics. The speaker begins by showing how substituting values into a polynomial can help determine factors and remainders. The video then...
Instructional Video1:25
Brian McLogan

Using the rules of exponents to simplify an expression

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Instructional Video2:42
Brian McLogan

How to Multiply Using the Distributive Property | Simplify by Multiplying

12th - Higher Ed
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Instructional Video1:51
Brian McLogan

Applying the Distributive Property to a Trinomial

12th - Higher Ed
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Instructional Video2:00
Brian McLogan

How to find the zeros of a quadratic polynomial by factoring

12th - Higher Ed
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Instructional Video1:13
Brian McLogan

Determining if a equation is a polynomial or not

12th - Higher Ed
👉 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...
Instructional Video7:25
Brian McLogan

Understand how synthetic division helps us understand polynomials

12th - Higher Ed
👉 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...
Instructional Video3:19
Brian McLogan

What do you need to know to apply synthetic division

12th - Higher Ed
👉 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 unknown, the solution for...
Instructional Video3:10
Brian McLogan

Determine the end behavior 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 Video3:02
Brian McLogan

How to divide polynomials using synthetic division

12th - Higher Ed
👉 Learn about dividing by synthetic division when there is a missing power. 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...
Instructional Video2:41
Brian McLogan

Given three integer zeros write the polynomial function

12th - Higher Ed
👉 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...
Instructional Video3:43
Brian McLogan

Overview adding polynomials

12th - Higher Ed
👉 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...
Instructional Video4:10
Brian McLogan

Learn How To Multiply Two Binomials to Represent the Area of a Rectangle

12th - Higher Ed
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the...
Instructional Video2:46
Brian McLogan

The Easy Way to Organize Multiplying a Monomial by a Polynomial

12th - Higher Ed
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Instructional Video1:37
Brian McLogan

How to Math - Simplify a monomial using product property of exponents

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 Video2:19
Brian McLogan

How to find the degree and leading coefficient of a polynomial (mistake)

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 Video2:13
Brian McLogan

Determining the leading coefficient and degree not in standard form

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 Video5:03
Brian McLogan

Find the equation of a line through two points using slope intercept form

12th - Higher Ed
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...