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.


Students will be able to

  • recognize that the function 𝑓(𝑥)=𝑐, where 𝑐, only has zeros in the case where 𝑐=0,
  • 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.


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.


Students will not cover

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

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