Exploring the Relationship between Roots and Coefficients of Quadratic Equations
6 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following statements correctly describes the relationship between the roots and coefficients of a quadratic equation?

  • The product of the roots is equal to the product of the coefficients.
  • The product of the roots is equal to the sum of the coefficients. (correct)
  • The sum of the roots is equal to the sum of the coefficients.
  • The sum of the roots is equal to the product of the coefficients.

    • What is the relationship between the roots and coefficients of a quadratic equation if the equation has only one real root?

  • The product of the roots is equal to the product of the coefficients.
  • The sum of the roots is equal to the product of the coefficients.
  • The sum of the roots is equal to the sum of the coefficients. (correct)
  • The product of the roots is equal to the sum of the coefficients.

    • What is the relationship between the roots and coefficients of a quadratic equation if the equation has no real roots?

  • The sum of the roots is equal to the product of the coefficients.
  • The sum of the roots is equal to the sum of the coefficients.
  • The product of the roots is equal to the product of the coefficients. (correct)
  • The product of the roots is equal to the sum of the coefficients.

    • Which of the following statements correctly describes the sum and product of the roots of a quadratic equation?

    <p>The sum of the roots is equal to the coefficient of the linear term, and the product of the roots is equal to the constant term.</p> Signup and view all the answers

    What is the sum of the roots of the quadratic equation $2x^2+5x+3=0$?

    <p>$-3$</p> Signup and view all the answers

    What is the product of the roots of the quadratic equation $3x^2-7x+2=0$?

    <p>$ rac{2}{3}$</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser