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Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a instructional activity, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and...
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Worksheet
Curated OER

Polynomials and Linear Factors

For Students 10th - 11th Standards
This algebra instructional activity 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...
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Instructional Video15:27
2
2
Flipped Math

Zeroes of Polynomials

For Students 9th - 12th Standards
Zero in to find the correct answer. Scholars find out how to solve a polynomial equation by factoring to find the zeroes. Learners use their knowledge of factoring polynomials and solving linear equations to find all of the solutions and...
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Worksheet
Curated OER

More on Factors, Zeros, and Dividing

For Students 10th - 12th
Students explore the concept of finding zeros of polynomials.  In this finding zeros of polynomials instructional activity, students find the zeros of polynomials given one zero.  Students factor and find all the zeros of 18 polynomials.
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Lesson Plan
Curated OER

Who am I? Find A Polynomial From Its Roots

For Teachers 9th - 12th
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
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Worksheet
Curated OER

Dividing Polynomials

For Students 11th - Higher Ed
In this Algebra II/college level worksheet, 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 worksheet contains...
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Lesson Plan
1
1
EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
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Lesson Plan
1
1
EngageNY

Graphing Factored Polynomials

For Students 10th - 12th Standards
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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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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Instructional Video24:44
2
2
Flipped Math

Sketching Polynomial Functions

For Students 9th - 12th Standards
Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...
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Lesson Plan
Curated OER

Graphical Analysis

For Teachers 9th - 12th Standards
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
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Lesson Plan
Curated OER

Zeros of Polynomials

For Teachers 9th - 12th Standards
High schoolers graph polynomials. In this Algebra II instructional activity, students investigate the graph of a polynomial to determine the value and the number of zeros. This instructional activity requires the use of a graphing...
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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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...
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Lesson Plan
Curated OER

An Introduction to Polynomial Functions

For Teachers 10th - Higher Ed
In this introduction to polynomial function worksheet, young scholars classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response...
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Assessment
Mt. San Antonio Collage

Quiz 2: Polynomials

For Students 9th - 12th Standards
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
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Worksheet
2
2
Flipped Math

Unit 2 Review: Polynomial Functions

For Students 9th - 12th Standards
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
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Worksheet
2
2
Flipped Math

Unit 1 Review: Polynomials

For Students 9th - 12th Standards
Hit the highlights. Pupils complete 20 problems to review key aspects of skills learned about polynomials. They multiply, divide, and factor polynomials along with determining the zeros of a polynomial. At the end, individuals complete...
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Lesson Plan
Curated OER

One of the Many Ways

For Teachers 9th - 12th Standards
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
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Lesson Plan
1
1
Curated OER

Polynomials: Factors, Roots and Zeroes

For Teachers 9th - 12th Standards
Students factor polynomial equations. In this algebra lesson plan, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
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Worksheet
Curated OER

Factoring Polynomials

For Students 9th
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
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Worksheet
Curated OER

Theory of Polynomials

For Students 9th - 11th
In this polynomial worksheet, students find all zeros of polynomials. They write polynomials as the product of linear fractions. This two-page worksheet contains 27 problems. The second page provides answers.