Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Curated OER
Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Curated OER
Polynomials and Linear Factors
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Curated OER
Theory of Polynomials
In this polynomial worksheet provides extra practice the Factor and Remainder Theorems. They identify factors of given linear expressions. This two-page worksheet contains 19 problems. The answers are provided on the second page.
Curated OER
The Remainder and Factor Theorems
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
Curated OER
Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials
In this synthetic substitution learning exercise, students evaluate three different function at specified points. Students also determine if given factors are factors of four specific polynomials. Additionally students use the Factor...
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.
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.
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...
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]
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.
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...
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...
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.
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.
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.
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.
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...