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Texas Instruments

Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
A comprehensive instructional activity that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few...
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The Binomial Theorem

For Students 9th - 12th
In this binomial expansions practice instructional activity, students utilize the theorem to determine the nth term in the expansion for 10 problems, then expand it completely for an additional 6 problems.
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Senior Analysis

For Students 9th - 12th
A good review worksheet on simplifying rational expressions, solving equations with factorials, solving problems on permutations and combinations, and using the Binomial Theorem.  
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Practice: Binomial Expansions

For Teachers 10th - 12th
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
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Binomial Expansion

For Teachers 9th - 11th
In this algebra worksheet, students expand binomials and identify different terms. They expand the function using the binomial theorem. There are forty-four questions with an answer key.
Worksheet
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Binomial Expansion

For Students 9th - 12th
In this algebra instructional activity, high schoolers expand the binomial with the binomial expansion theorem in order to find the coefficient of a given term. There are 4 questions.
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Binomial Expansions #2

For Teachers 11th
In this Algebra II worksheet, 11th graders solve problems in which they find the indicated term of the binomial expansion.  The two page worksheet contains a combination of ten multiple choice and free response questions. ...
Worksheet
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L5.3 Worksheet: Multiplying and Factoring Polynomials

For Students 9th - 12th
In this multiplying and factoring polynomials activity, students solve 25 short answer problems.  Students FOIL binomials, expand binomials, factor perfect square trinomials, etc.
Worksheet
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Binomial Expansions 3

For Students 11th
In this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion.  The one page worksheet contains four problems.  Answers are provided. 
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Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
In this binomial expansions worksheet, students solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.
Worksheet
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Binomial Expansion: Find the Coefficient

For Students 9th - 12th
In this algebra worksheet, students expand a binomial to a given power in order to determine the coefficient of a given term using the binomial expansion theorem. There are 4 questions.
Worksheet
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Expand the Binomial Problems

For Students 10th - 12th
In this binomial expansion worksheet, students expand four binomials.  The largest power for expansion is six.  The solutions are not provided.