Instructional Video5:51
Brian McLogan

How to use long division to divide two polynomials

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 Video3:47
Brian McLogan

Learning how to complete 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 variable, the solution for...
Instructional Video6:07
Brian McLogan

Finding the Zeros of a Polynomial

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial. 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 the values...
Instructional Video3:44
Brian McLogan

How to divide polynomials using long division

12th - Higher Ed
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Instructional Video3:04
Brian McLogan

Finding all of the possible zeros by applying the rational zero test to a polynomial

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 Video2:19
Brian McLogan

Factoring a polynomial using the 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 Video7:47
Brian McLogan

Master Determining the the end behavior of a polynomial by using the leading coefficient test

12th - Higher Ed
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Instructional Video2:24
Brian McLogan

What is the factor Theorem

12th - Higher Ed
👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when...
Instructional Video4:22
Brian McLogan

Dividing 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 Video5:09
Brian McLogan

How to Use the Foil Face to Multiply Binomials - Math Tutorial

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 Video1:58
Brian McLogan

Subtracting polynomials by using the addition method

12th - Higher Ed
👉 Learn how to subtract polynomials. To subtract 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...
Instructional Video2:22
Brian McLogan

Simplify an expression using power to product and power to quotient rule

12th - Higher Ed
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Instructional Video2:08
Brian McLogan

Learn How To Multiply Three Binomials by One Another - Math Tutorial

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 Video4:34
Brian McLogan

Adding two rational expressions by determine the LCD and adding like terms

12th - Higher Ed
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Instructional Video5:15
Brian McLogan

Solve and write the linear factorization using the sum of two cubes

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 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 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 Video5:46
Brian McLogan

Dividing two rational expression by factoring to simplify

12th - Higher Ed
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
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 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 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 Video2:50
Brian McLogan

Factoring by grouping by rearranging the middle terms

12th - Higher Ed
Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...