# Lesson Plan: Zeros of Polynomial Functions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the set of zeros of a quadratic, cubic, or higher-degree polynomial function.

#### Objectives

Students will be able to

• recognize that the function , where , only has zeros in the case where ,
• validate if a given value is a zero of a given polynomial function,
• find the set of zeros of a linear function,
• find the set of zeros of a quadratic function,
• find the set of zeros of a cubic function,
• find the set of zeros of a higher-degree function providing it can be factored directly or using substitution,
• find unknown coefficients of a polynomial function given a zero or a set of zeros for this function.

#### Prerequisites

Students should already be familiar with

• solving quadratic equations by factoring or by using the quadratic formula,
• factoring, including factoring by regrouping,
• functions and sets,
• polynomial division.

#### Exclusions

Students will not cover

• numerical methods to calculate zeros of polynomials,
• synthetic division,
• complex roots,
• nonpolynomial functions.