Completing the Square Quiz
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Questions and Answers

What is the process of completing the square used for?

  • Solving quadratic equations (correct)
  • Factoring polynomials
  • Solving linear equations
  • Solving cubic equations
  • What is the result of completing the square for a quadratic equation?

  • A perfect square trinomial (correct)
  • A cubic equation
  • A linear equation
  • An irrational number
  • In completing the square, what value is added and subtracted to the quadratic equation?

  • Twice the coefficient of the x-term
  • The constant term
  • The coefficient of the x-term
  • Half the coefficient of the x-term (correct)
  • Explain the process of completing the square for a quadratic equation.

    <p>To complete the square for a quadratic equation, first ensure the coefficient of x^2 is 1. Then, halve the coefficient of x, square the result, and add/subtract it to the equation to create a perfect square trinomial.</p> Signup and view all the answers

    What is the purpose of completing the square?

    <p>Completing the square is used to transform a quadratic equation into a form that makes it easier to solve, particularly by factoring or using the quadratic formula.</p> Signup and view all the answers

    What is added and subtracted when completing the square for a quadratic equation?

    <p>When completing the square, half the coefficient of x is added and subtracted to the quadratic equation to create a perfect square trinomial.</p> Signup and view all the answers

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