# Classroom Activities

• ##### Subject Area

• Math: Algebra II: Polynomials

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Report an Issue

Exploring Polynomials: Factors, Roots, and Zeros

Published on 08/31/2011

#### Activity Overview

Investigate graphical and algebraic representations of a polynomial function and its linear factors.

#### Objectives

• Students will discover that the zeros of the linear factors are the zeros of the polynomial function.
• Students will discover that the real zeros of a polynomial function are the zeros of its linear factors.
• Students will determine the linear factors of a quadratic function.
• Students will connect the algebraic representation to the geometric representation.
• Students will see the effects of a double and/or triple root on the graph of a cubic function.
• Students will see the effects of the leading coefficient on a cubic function.

#### Vocabulary

• Zeros
• Double or triple root