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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...
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Worksheet
Curated OER

Roots, Multiplicities, and Factoring Polynomials

For Students 10th - 12th
In this polynomials worksheet, students find zeros, state multiplicities, and factor twenty-two polynomials.  Students then find a polynomials that satisfies the stated conditions in eighteen problems,  Finally, students factor...
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Lesson Plan
Curated OER

Solving Polynomial Equations by Factoring

For Teachers 9th - 10th
Students factor polynomial equations. In this algebra instructional activity, students apply the zero product property to factor quadratic equations. They solve real life scenarios by apply the concepts of parabolas.
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Lesson Plan
Curated OER

Multiplying Polynomials

For Teachers 7th - 9th
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
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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.
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Interactive
Curated OER

Solving Equations by Factoring

For Teachers 8th - 11th
In this algebra worksheet, learners use the Zero Product Property to solve polynomial equations by factoring.  Application problems are included.  The one page interactive worksheet contains fifty-four problems.  The solution steps and...
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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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Lesson Plan
1
1
EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
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Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
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Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Worksheet
Curated OER

Rational Root Theorem

For Students 9th - 10th
In this polynomial activity, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page activity contains ten problems.
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Lesson Plan
Curated OER

Functions and Roots

For Teachers 9th - 10th
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
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Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
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Worksheet
Curated OER

Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Worksheet
Curated OER

Polynomial Equations

For Students 9th
In this polynomial equations instructional activity, 9th graders solve 10 different problems that include various polynomials to a higher degree. First, they solve each equation combining like terms if possible. Then, students find the...
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Lesson Plan
Curated OER

Introduction to Polynomials

For Teachers 7th - 9th
Learners analyze the graphs of polynomial functions, examine vocabulary associated with polynomials, and determine the maximum number of real roots possible for a polynomial
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Worksheet
Curated OER

Chapter 4 Review Worksheet: Polynomial

For Students 10th - 11th
In this polynomial worksheet, students write polynomial equations, determine the discriminant of equations, and find zeros of functions. This two-page worksheet contains 16 problems.
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Worksheet
Curated OER

Theory of Polynomials

For Students 9th - 11th
In this theory of polynomials learning exercise, students use the discriminant to determine whether the zeros are real and equal, real and unequal or complex. They find the values of the roots. This two-page learning exercise contains...
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Lesson Plan
Curated OER

Building Boxes- Polynimial And Rational Functions

For Teachers 7th - 9th
Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...
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Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Lesson Plan
1
1
Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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Worksheet
Curated OER

Factoring Polynomials

For Students 10th - 12th
In this polynomial worksheet, students solve polynomials by factoring and finding square roots. This two-page worksheet contains approximately 20 problems.