Varsity Tutors
Varsity Tutors: Hotmath: Polynomial Division: The Remainder and Factor Theorems
Thirty-nine problems present a variety of practice applying the remainder and factor theorems to polynomial division.
Math Planet
Math Planet: Algebra 2: Polynomial Functions: Remainder and Factor Theorems
Provides examples and a video lesson that illustrate the remainder and factor theorems. [1:34]
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Purple Math
Purplemath: Factor Theorem
Purplemath.com discusses the Factor Theorem, explaining its relationship to the Remainder Theorem. The lesson has a link to synthetic division, a key to discovering if a value is a root.
McGraw Hill
Glencoe Mathematics: Quiz on the Remainder and Factor Theorems
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the remainder and factor theorems.
Windstream
Ojk's Precalculus Study Page: Remainder and Factor Theorems
An introduction to two important uses of synthetic substitution, the remainder theorem and the factor theorem. Includes examples and sample problems with solutions.
Paul Dawkins
Paul's Online Notes: Algebra: Zeroes/roots of Polynomials
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
Richland Community College
Real Zeros of Polynomial Functions
This site from the Richland Community College contains information on long and synthetic division, the remainder theorem and the factor theorem.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Synthetic Division
This tutorial will show you how to use synthetic division and how to use both the remainder and factor theorems in conjunction with synthetic division. Offers several examples with solutions and explanations as well as practice problems...
Khan Academy
Khan Academy: Algebra Ii: Remainder Theorem
Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
CK-12 Foundation
Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....
Math Medics
S.o.s. Math: Fundamental Theorem of Algebra
This lesson takes a look at the Fundamental Theorem of Algebra. It gives information on solving multiplicity of roots and quadratic polynomials. Also gives a brief history and provides some learning exercises to practice.
Illustrative Mathematics
Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii
The task has students use the remainder theorem to deduce a linear factor of a cubic polynomial, and then to completely factor the polynomial. Aligns with A-APR.B.3 and A-APR.B.2.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
CK-12 Foundation
Ck 12: Analysis: Product and Quotient Theorems
[Free Registration/Login may be required to access all resource tools.] Multiplying and dividing complex numbers in polar form, checking with rectangular form and technology
Math Notes and Math Tests
Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
Interactive Mathematics
Interactive Mathematics: Polynomial Functions and Equations
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...
Mathigon
Mathigon: Math Foundations: Divisibility and Primes: Prime Numbers
This lesson focuses on prime numbers, numbers that can only be divided by one and itself. It explains the Fundamental Theorem of Arithmetic and the Sieve of Eratosthenes. Includes practice activities.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Synthetic Division by X A
Here is a site that clearly and thoroughly explains how to divide a polynomial by a binomial using synthetic division. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Other
American Statistical Association: Who Sends the Most Text Messages? [Pdf]
In this detailed lesson looking at text messaging behavior, students investigate the sampling distribution for the sample mean to learn what factors affect its shape. They will also be introduced to the Central Limit Theorem.
Other
Math Centre: Cubic Equations [Pdf]
This resource explains what the features of cubic equations are and how to solve them algebraically and by graphing them. Includes practice exercises with answers provided.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Partial Fractions
Math Forum offers a description of remainder and factor theorem and gives and example of their uses.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Curated OER
S.o.s. Math: Fundamental Theorem of Algebra
This lesson takes a look at the fundamental theorem of algebra. It gives information on solving multiplicity of roots and quadratic polynomials. Also gives a brief history and provides some learning exercises to practice.