# Activities

• • • ##### Subject Area

• Math: Algebra I: Functions and Relations

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

## Polynomials

#### Activity Overview

This Computer Algebra System (CAS) activity encourages students to investigate the characteristics of a polynomial of the first degree, second degree, third degree and fourth degree. Students analyze the expressions, expand them, and graph the polynomials of various degrees.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 4 from the attached PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Find the rules for the given polynomials
• Enter a cubic expression, expand it, and graph the function
• Graph the functions for different values of x
• Find the number of times the graph cuts the x-axis
• Determine the zeros of the graph of polynomials
• Examine the relationship between the zeros and the graphs of the function
• Repeat the steps for quartic functions
• #### After the Activity

Students' answer questions on the Activity sheet.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary