Factor Theorem Teacher Resources
Find Factor Theorem lesson plans and worksheets
Showing 29 resources
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 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...
Curated OER
Polynomials and Linear Factors
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...
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
Quadratic Equations with Negative Discriminate
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.
Curated OER
Dividing Polynomials
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...
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
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
Roots of Polynomial Functions
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...
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...
EngageNY
Scale Factors
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...
Curated OER
Arithmetic Complex Numbers
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.
Curated OER
Polynomial Divisions
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.
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]
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.
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...
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.