Brian McLogan
Using Descartes Rule of Signs to determine possible number of solutions
👉 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...
Brian McLogan
How to write the final answer of a problem using synthetic division
👉 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...
Brian McLogan
Simplify complex numbers
In this video tutorial I show you how to simplify complex numbers to a higher power but using module mathematics. We notice that an imaginary number to a higher power repeats in value after the power of 4. We use this idea to simplify...
Brian McLogan
Simplify complex numbers
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Rewrite i simplified when it is raised to a higher power
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
How to apply synthetic division when your zero is a fraction
👉 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...
Brian McLogan
Is it a factor or not? Polynomial Style
👉Is it a factor or not. In this video I will show you three different ways to identify if you have a factor or not of a polynomial and let you decide which method you want to use for your next problem.
Curated Video
Understanding the Remainder Theorem Through Simple Division Problems
In this lesson, students will learn about the remainder theorem and its relationship to long division. They will understand how to find the remainder when dividing polynomials by evaluating the function at a specific value. Through...
Brian McLogan
Determine if you have a factor of a polynomial using the factor theorem
👉 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...
Brian McLogan
Learn How to Factor and Solve a Polynomial to the 4th Power
👉 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...
Brian McLogan
Finding the roots of a polynomial by factoring to the 4th power
👉 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...
Curated Video
Relate Factors and Zeros Using the Factor Theorem
This video explains the relationship between factors and zeros of a polynomial using the factor theorem. The remainder theorem is also discussed as a precursor to understanding the factor theorem. Review how to determine if a polynomial...
Flipped Math
Remainder Theorem
Don't divide! Pupils view three examples relating the remainder of a polynomial division and the polynomial function evaluated at a related value. Learners notice how to find a missing coefficient in a polynomial given the remainder of a...
Sophia Learning
Sophia: Finding Roots With the Remainder Theorem
This video lesson demonstrates how to find the roots of a polynomial by using the Remainder Theorem. Students can check their understanding with an assessment. [6:12]
Khan Academy
Khan Academy: Algebra: Dividing Polynomials With Remainders
Video demonstrates how to divide a trinomial of degree 3 by a trinomial of degree 2. Problem involves a remainder and multiplication is used to check the answer. Develops an understanding of polynomial division prior to an introduction...
Khan Academy
Khan Academy: Algebra Ii: Remainder Theorem Examples
The polynomial remainder theorem says that for a polynomial p(x) and a number a, the remainder on division by (x-a) is p(a). This might not be very clear right now, but you will understand this much better after watching these examples....
Khan Academy
Khan Academy: Algebra Ii: Remainder Theorem: Finding Remainder From Equation
Sal finds the remainder of (-3x^3-4x^2+10x-7) divided by (x-2) using the PRT (Polynomial Remainder Theorem). [3:31]
Khan Academy
Khan Academy: Algebra Ii: Intro to the Polynomial Remainder Theorem
The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily. [6:42]
Study Pug
Study Pug: Polynomial Long Division
Provides all the tools needed to learn how to divide any pair of polynomials using synthetic or long division. [8:42]
Sophia Learning
Sophia: Evaluating Polynomials With the Remainder Theorem: Lesson 5
This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 5 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."
Sophia Learning
Sophia: Finding Roots With the Remainder Theorem: Lesson 2
This lesson uses the remainder theorem to determine whether a given value of x is a root of a given polynomial. It is 2 of 5 in the series titled "Finding Roots With The Remainder Theorem."
Sophia Learning
Sophia: Finding Roots With the Remainder Theorem: Lesson 5
This lesson uses the remainder theorem to determine whether a given value of x is a root of a given polynomial. It is 5 of 5 in the series titled "Finding Roots With The Remainder Theorem."
Sophia Learning
Sophia: Finding Roots With the Remainder Theorem: Lesson 1
This lesson uses the remainder theorem to determine whether a given value of x is a root of a given polynomial. It is 1 of 5 in the series titled "Finding Roots With The Remainder Theorem."