Worksheet
Curated OER

The Remainder and Factor Theorems

For Students 11th
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...
Worksheet
Curated OER

Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
In this synthetic substitution activity, learners evaluate three different function at specified points.  Students also determine if given factors are factors of four specific polynomials.  Additionally learners use the Factor...
Worksheet
Curated OER

Polynomials and Linear Factors

For Students 10th - 11th Standards
This algebra worksheet 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...
Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Quadratic Equations with Negative Discriminate

For Teachers 9th - 11th
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
Worksheet
Curated OER

Dividing Polynomials

For Students 11th - Higher Ed
In this Algebra II/college level activity, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function.  The two page activity...
Lesson Plan
Curated OER

The Remainder Theorem Using TI-Nspire CAS

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Theory of Polynomials

For Students 9th - 11th
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.
Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
Lesson Plan
1
1
Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
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...
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
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...
Lesson Plan
EngageNY

Scale Factors

For Students 9th - 10th Standards
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Lesson Plan
Curated OER

Polynomial Divisions

For Teachers 8th - 10th
Students factor polynomials and use long division t solve problems. In this algebra instructional activity, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Polynomial Division: The Remainder and Factor Theorems

For Students 9th - 10th Standards
Thirty-nine problems present a variety of practice applying the remainder and factor theorems to polynomial division.
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]
Activity
Purple Math

Purplemath: Factor Theorem

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

Interactive Mathematics: The Remainder and the Factor Theorem

For Students 9th - 10th Standards
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Zeroes/roots of Polynomials

For Students 9th - 10th Standards
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...
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.
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...
Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]

For Students 9th - 10th
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.

Other popular searches

Browse by Subject


Factor Theorem