#### Activity Overview

Factor expressions that are either the sum of cubes or the difference of cubes.

#### Objectives

- Students will be able to classify expressions as the sum of cubes, difference of cubes, or neither.
- Students will be able to make connections between the graph of a cubic polynomial, in the form of a sum or difference of cubes, and its factors.
- Students will be able to factor expressions in the form of a sum or difference of cubes.

#### Vocabulary

- Cube roots
- Sum of cubes
- Difference of cubes
- Linear factor
- Quadratic factor

#### About the Lesson

This lesson involves factoring expressions that are either the sum of cubes or the difference of cubes. Students will:

- Edit text to find the cube root of terms.
- Pull text boxes to a point to identify binomial expressions as the sum of cubes, difference of cubes, or neither.
- Study the graphs of simple cubic functions, in the form of a sum or difference of cubes, and their linear and quadratic factors.
- Enter text in a spreadsheet to find the binomial factor of an expression that is the sum or difference of cubes.Enter text in a spreadsheet to find the trinomial factor of an expression which is the sum or difference of cubes.