# Activities

• ##### Download

• • ##### Subject Area

• Math: Algebra I: Quadratic Functions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

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Factoring Trinomials Part 2

#### Activity Overview

Explore trinomials of the form x2 + bx + c, where b is negative and c is positive.

#### Objectives

• Factor trinomials of the form x2 + bx + c where the linear term, b, has a negative integer coefficient and the constant term, c, is a positive integer
• Use an area model to factor trinomials of this form
• Generalize the process for factoring trinomials of this form

#### Vocabulary

• factor trinomials

#### About the Lesson

This lesson involves factoring trinomials using a dynamic area model. As such, it is implicit that x is a positive quantity, and therefore –x is a negative number and is represented by a darker tile. As a result students will factor trinomials of the form x2 + bx +c by recognizing that the factors of c must add up to b when the trinomial is factored. In the process, students may encounter the notion of subtraction as "adding the opposite."