When you use the Binomial Theorem to expand
Problem 2 Expanding a Binomial
What is the expansion of
| Think | Write |
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| For
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Image Long Description |
| The Binomial Theorem uses a binomial sum. |
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| Apply the Binomial Theorem. |
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| Simplify. |
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✓ Got It?
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What is the expansion of
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Reasoning Consider the following:
Why do these powers of 11 have digits that mirror Pascal's Triangle?
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✓ Lesson Check
Do you know HOW?
Use Pascal's Triangle to expand each binomial.
Do you UNDERSTAND?
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Vocabulary Tell whether each expression can be expanded using the Binomial Theorem.
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- Writing Describe the relationship between Pascal's Triangle and the Binomial Theorem.
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Reasoning Using Pascal's Triangle, determine the number of terms in the expansion of
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions