# Lesson Plan: Factor Theorem Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the factor theorem to factor polynomials, especially cubic polynomials.

#### Objectives

Students will be able to

- understand and recall the factor theorem,
- use the factor theorem to verify that a linear expression is a factor of a polynomial,
- find unknowns in a polynomial expression given a linear factor by using the factor theorem,
- use the factor theorem to fully factor cubic expressions (with a small integer root) and draw their graphs,
- use the factor theorem to fully factor quartic expressions given one of the factors.

#### Prerequisites

Students should already be familiar with

- factoring polynomial functions given a factor by using long division,
- drawing graphs of factored polynomial functions (up to quartic) given their roots.

#### Exclusions

Students will not cover

- the remainder theorem,
- factoring polynomial expressions of higher order than three when no factors are given.