Instructional Video4:26
Brian McLogan

Find all the solutions of a rational equation and check your solution

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 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 Video2:25
Brian McLogan

Subtract two rational expressions by obtaining common denominators

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 Video10:21
Brian McLogan

Dividing 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 Video4:18
Brian McLogan

Learn how to apply the long division algorithm divide two polynomials

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 Video3:26
Brian McLogan

Dividing two polynomials using long division step by step

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 Video3:32
Brian McLogan

Dividing polynomials with missing terms 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 Video6:41
Brian McLogan

Learning 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 Video4:31
Brian McLogan

Learn how to divide polynomials using long division with a quadratic divisor

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 Video1:47
Brian McLogan

Learning how to apply synthetic division with multiple missing terms

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 Video2:12
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 Video6:01
Brian McLogan

Show the zero exists by the Intermediate Value Theorem

12th - Higher Ed
Show the zero exists by the Intermediate Value Theorem
Instructional Video1:29
Brian McLogan

Using foil to Multiply Two 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 Video2:11
Brian McLogan

How to add two binomials 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 Video9:37
Brian McLogan

Learn How to Find All Zeros of a Polynomial Using Rational Zero Test and Synthetic

12th - Higher Ed
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Instructional Video8:44
Brian McLogan

Learn How to Solve a Polynomial Using the Difference of Two Cubes

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 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
Instructional Video4:16
Brian McLogan

How to use the zeros and multiplicity to graph the equation of a polynomial

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 Video2:25
Brian McLogan

Learn how to find the end behavior of a factored polynomial

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 Video0:47
Brian McLogan

Calculus Unit 4 Property of definite integral is zero

12th - Higher Ed
Calculus Unit 4 Property of definite integral is zero
Instructional Video3:50
Brian McLogan

Applying the remainder theorem to identify the remainder of a polynomial divided

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 Video2:29
Brian McLogan

Applying synthetic division when your divisor is a fraction

12th - Higher Ed
👉 Learn about dividing by synthetic division when the divisor is a fraction. 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 Video9:14
Brian McLogan

Overview of dividing polynomials

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 Video5:52
Brian McLogan

Intercepts and asymptotes of rational functions

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...