Lesson: Quadratic Equations: Coefficients and Roots Mathematics

In this lesson, we will learn how to recognize the relationship between the coefficients of a quadratic equation and its roots.

Lesson Plan

Objectives

Students will be able to

  • recognize the relationship between the roots of a quadratic equation and its coefficients,
  • identify the sum and product of the roots using the formulae βˆ’π‘π‘Ž and π‘π‘Ž, respectively, for a quadratic equation π‘Žπ‘₯+𝑏π‘₯+𝑐=0,
  • form a quadratic equation given its roots, including when the roots are integers, rational numbers, real numbers, and complex numbers, and solve related problems.

Prerequisites

Students should already be familiar with

  • how to find the roots of quadratic equations, including the quadratic formula,
  • complex roots of quadratic equations.

Exclusions

Students will not cover

  • roots of higher-order functions,
  • forming a quadratic equation given the roots of another quadratic equation,
  • nonconjugate complex roots.

Lesson Explainer

Sample Question Videos

  • 04:38
  • 04:25
  • 02:44

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