eBook
Math Planet

Math Planet: Algebra 2: Polynomial Functions: Remainder and Factor Theorems

For Students 9th - 10th Standards
Provides examples and a video lesson that illustrate the remainder and factor theorems. [1:34]
Unknown Type
McGraw Hill

Glencoe Mathematics: Quiz on the Remainder and Factor Theorems

For Students 9th - 10th Standards
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the remainder and factor theorems.
Activity
Windstream

Ojk's Precalculus Study Page: Remainder and Factor Theorems

For Students 9th - 10th Standards
An introduction to two important uses of synthetic substitution, the remainder theorem and the factor theorem. Includes examples and sample problems with solutions.
Unit Plan
Richland Community College

Real Zeros of Polynomial Functions

For Students 10th - 12th Standards
This site from the Richland Community College contains information on long and synthetic division, the remainder theorem and the factor theorem.
Unknown Type
Khan Academy

Khan Academy: Zeros in the Quotient (No Remainders)

For Students 3rd - 5th
Practice solving division problems with 0s in the solution, or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr the Missing Coefficient

For Teachers 9th - 10th Standards
The purpose of this task is to emphasize the use of the Remainder Theorem as a method for determining structure in polynomials in equations, and in this particular instance, as a replacement for division of polynomials. Aligns with...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii

For Teachers 9th - 10th Standards
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.
Activity
Interactive Mathematics

Interactive Mathematics: Polynomial Functions and Equations

For Students 9th - 10th Standards
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...
Activity
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Synthetic Division

For Students 9th - 10th Standards
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...
Handout
Curated OER

Real Roots of Polynomial Functions

For Students 9th - 10th Standards
A thorough abstract treatment of how to find the roots of a polynomial function. The site explains how to divide polynomials and the remainder theorem. The language is a bit technical, but the examples are good.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial

For Teachers 9th - 10th Standards
In this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Synthetic Division by X A

For Students 9th - 10th Standards
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions

For Students 9th - 10th Standards
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.
Handout
Math2

Math2.org: Series Expansion

For Students 9th - 10th
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii

For Teachers 9th - 10th Standards
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial

For Teachers 9th - 10th Standards
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Partial Fractions

For Students 9th - 10th
Math Forum offers a description of remainder and factor theorem and gives and example of their uses.

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