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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Synthetic Division of Polynomials

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson uses synthetic division to divide polynomials and find zeros.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Dividing Polynomials

For Students 9th - 10th
Detailed math tutorial features notes and examples that take a look at the basics dividing polynomials, introduces synthetic division, and gives the Division Algorithm.
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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...
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Activity
Help Algebra

Help algebra.com: Synthetic Division

For Students 9th - 10th
Synthetic division is thoroughly explained using long division as a starting point. The examples are very detailed and provide the steps necessary for completing the process of synthetic division.
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Handout
Curated OER

Synthetic Division

For Students 9th - 10th Standards
A step-by-step example problem and explanation of synthetic division is provided.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Long Division of Polynomials

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This lesson introduces how to divide polynomials using long division. Students examine guided notes, review guided practice, watch instructional videos and attempt...
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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.
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Unknown Type
Washington State University

Washington State University: Sample Problems From Intermediate Algebra

For Students 9th - 10th
Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....
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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.
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Handout
Purple Math

Purplemath: Factoring Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
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Handout
Purple Math

Purplemath: Solving Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
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Activity
Help Algebra

Help algebra.com: Examples of Polynomial Equations

For Students 9th - 10th Standards
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
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Activity
Math Notes and Math Tests

Pre Calculus Notes: Long and Synthetic Polynomial Division [Pdf]

For Students 9th - 10th Standards
A college professor's detailed notes show how to divide polynomials based on the method for dividing integers.
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Activity
Help Algebra

Algebra Help: Operations With Polynomials

For Students 9th - 10th Standards
This article gives an overview for adding, subtracting, multiplying, and dividing polynomials. Examples are given, but more importantly, they are accompanied with explanations of why the process worked.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponent Properties With Variable Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers the product and quotient properties of exponents.
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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.
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Activity
Other

Math Centre: Cubic Equations [Pdf]

For Students 9th - 10th
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.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson applies factoring a quadratic equation to other types of polynomials that are in "quadratic form."
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Activity
Purple Math

Purplemath: Remainder Theorem

For Students 6th - 8th
Purplemath explains the Remainder Theorem and gives examples using synthetic division to evaluate, determine if a value is a solution/zero. The lesson contains a link to synthetic division and other related terms.
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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.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponential Terms Raised to an Exponent

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers the power properties of exponents.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Real Zeros of Polynomials

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students solve problems involving polynomial and rational functions. Students examine guided notes, review guided practice, watch instructional videos...
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Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Systems of Polar Equations

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Graphing equations on polar graphs and finding points of intersection.

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