Education Technology

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
• ##### Software

TI Connect™
TI Connect™ CE

# Precalculus: Going Back To Your Roots

by Texas Instruments

#### Overview

Students apply the Fundamental Theorem of Algebra in determining the complex roots of polynomial functions.

#### Key Steps

• In this activity, students will explore the application of the Fundamental Theorem of Algebra in determining the number of complex roots of polynomial functions. They will graph a function to find the roots and then see how the multiplicity of the roots compares to the degree of the polynomial.

• Students will determine how many complex roots and what type of roots the function has by graphing. Then they will determine the value of imaginary roots. Students will also investigate a polynomial that has both real and imaginary roots.

• The effect of multiplicity of roots on the graph of a function is further explored via the Transformational Graphing application.