Lesson Plan: Linear Factorization and Conjugate Root Theorems
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to write a polynomial function given some of its zeros using the conjugate root theorem, and how to find the roots of a polynomial using linear factorization.
Objectives
Students will be able to
- write down a polynomial given some of its roots,
- find roots of polynomials by factoring them into linear factors.
Prerequisites
Students should already be familiar with
- roots of polynomials,
- complex numbers,
- the fundamental theorem of algebra.
