Instructional Video1:05
Brian McLogan

Apply operations and then write the polynomial in standard form and find degree and LC

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 Video3:09
Brian McLogan

Find the equation of a line from given graph

12th - Higher Ed
👉 Learn how to write the equation of a line from graph. 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 we can write the...
Instructional Video2:16
Brian McLogan

How to write the equation of a line parallel to another through a point

12th - Higher Ed
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Instructional Video3:54
Brian McLogan

Binomial expansion to the sixth power

12th - Higher Ed
👉 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...
Instructional Video3:52
Brian McLogan

Breaking down synthetic division step by step

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 Video6:03
Brian McLogan

Using the Leading coefficient test to 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 Video4:13
Brian McLogan

What is Long Division?

12th - Higher Ed
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Instructional Video4:35
Brian McLogan

What is the Remainder Theorem

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 Video2:03
Brian McLogan

What are the formulas for the sum and difference of two cubes

12th - Higher Ed
👉 Learn how to factor polynomials using the sum or difference of two cubes. 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. To factor an...
Instructional Video2:54
Brian McLogan

How to write a polynomial function when 1 zero is root of integer

12th - Higher Ed
👉 Learn how to write the equation of a polynomial when given irrational 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....
Instructional Video6:38
Brian McLogan

Dividing polynomials using synthetic division with missing a term

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 Video3:11
Brian McLogan

How to use Descartes Rule of signs to find positive & negative zeros

12th - Higher Ed
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Instructional Video2:24
Brian McLogan

Dividing two 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 Video10:16
Brian McLogan

Completely Factor a Polynomial Using Synthetic Division and Find Zeros and Sketch

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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 zeros of a...
Instructional Video4:21
Brian McLogan

Learn how to subtract two rational equations when the denominators are trinomials

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 Video6:27
Brian McLogan

How to use the rational zero test to find all the possible zeros

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 Video14:50
Brian McLogan

How to divide two polynomials using long division

12th - Higher Ed
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Instructional Video10:03
Brian McLogan

Finding The Zeros of Fourth Degree Polynomial

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial by grouping. 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 zeros of a polynomial are...
Instructional Video4:08
Brian McLogan

How to find the vertical and horizontal asymptotes of a 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 Video2:55
Brian McLogan

How to determine if a factor is a factor of a polynomial using factor theorem

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 Video3:53
Brian McLogan

How does the remainder theorem work with polynomials

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 Video4:50
Brian McLogan

Given complex zeros find the polynomial - Online Tutor

12th - Higher Ed
👉 Learn how to write the equation of a polynomial when given complex 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 Video15:50
msvgo

Geometrical Meaning of the Zeros of a Polynomial

K - 12th
It explains how to identify the Zeros of a Polynomial with the help of graphical representation of the polynomial.
Instructional Video10:43
Brian McLogan

How to apply the leading coefficient test to determine 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...