Activity Overview
In this activity, students use the Polynomial Root Finder App on the TI-84 Evo to find the zeros of polynomial functions, including those with real, irrational, and complex roots. Students explore how the Fundamental Theorem of Algebra and the Principle of Zero Products can be applied to factor polynomials and identify their zeros. The activity also engages students in analyzing the behavior of polynomial graphs near their real zeros and using sign charts to solve polynomial inequalities.
About the Lesson
This lesson builds students' understanding of polynomial zeros by connecting algebraic techniques — such as factoring, long division, and synthetic division — with graphical representations using the TI-84 Evo. Students work through guided problems involving polynomials with rational, irrational, and complex roots, reinforcing key concepts such as multiplicity, conjugate pairs, and irreducible quadratic factors.