Algebra 2 5-7 Complete Lesson: The Binomial Theorem

Solve It! How many unique letter combinations are possible using each of the following?

The same letters in different orders are one combination.

a. 2 of 5 letters b. 3 of 5 letters c. 2 of 6 letters d. 4 of 6 letters e. 3 of 6 letters

HINT: Use the diagram below, a previous response, or both.

Match each scenario on the left with its number of possible letter combinations on the right. Some categories may remain empty.

Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.

Reasoning: How many terms are there in the expansion of the expression below?

Review Lesson 5-6: Identify all of the roots of the polynomial equation.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

Vocabulary Review: Identify the next number in each pattern.

Use Your Vocabulary: Identify whether each sentence shows the correct use of expand.

Use Your Vocabulary: The expression is the expansion of which power of a binomial?

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success