Instructional Video33:02
Brian McLogan

What you need to know | Polynomials

12th - Higher Ed
In this video I will cover the topics and processes you will need to know before starting Polynomials. We will begin by solving quadratic equations using the zero product property, factoring trinomials, solving quadratic equations using...
Instructional Video3:33
Brian McLogan

Learning step by step how to divide polynomials using 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 Video2:53
Brian McLogan

Finding all the Solutions of a Higher Order Polynomial by Factoring

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 Video4:51
Brian McLogan

How To Solve a Polynomial Equation Raised to the Fourth Power

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 Video2:14
Brian McLogan

Write the end behavior of a polynomial factored out

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 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 Video3:55
Brian McLogan

Given the imaginary zeros find the equation of the polynomial

12th - Higher Ed
👉 Learn how to write the equation of a polynomial when given imaginary 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 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 Video7:10
Brian McLogan

Graphing a fourth degree 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 Video17:15
Brian McLogan

Master how to divide two polynomials using long division with missing terms

12th - Higher Ed
Master how to divide two polynomials using long division with missing terms
Instructional Video10:27
Brian McLogan

Master How to graph a polynomial in factored form

12th - Higher Ed
Master How to graph a polynomial in factored form
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 Video5:40
Brian McLogan

Master how to factor a higher order polynomial by grouping

12th - Higher Ed
Master how to factor a higher order polynomial by grouping
Instructional Video3:51
Brian McLogan

Write the equation of the polynomial given the zeros

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 Video4:44
Brian McLogan

Write the equation of a polynomial given binomial irrational zeros

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 Video6:44
Brian McLogan

Master how to find all of the zeros of a polynomial when given one irrational zero

12th - Higher Ed
Master how to find all of the zeros of a polynomial when given one irrational zero
Instructional Video1:06:11
Brian McLogan

Complex Zeros of Polynomials | Polynomials | Pre-Calculus

12th - Higher Ed
In this video we explore how to determine the complex zeros of a polynomial function by factoring and division. We also will explore the fundamental theorem of algebra, Descartes rule of signs, and the rational zero test.
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 Video1:56
Brian McLogan

Determining If a Polynomial Function is Even or Odd

12th - Higher Ed
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
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 Video6:21
Brian McLogan

How to use the rational zero test to determine all possible rational 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 Video4:48
Brian McLogan

When do we have an oblique, slant asymptote for 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 Video1:18
Brian McLogan

Learn how to determine if a function is power function and identify constant and power

12th - Higher Ed
In this video playlist you will learn all about polynomials. We will learn how to find the zeros of a polynomial by factoring and then finding more zeros by applying Descartes Rule of Signs as well as the Rational zero test. We will use...
Instructional Video2:28
Brian McLogan

What are bounded functions and how do you determine the boundness

12th - Higher Ed
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...