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  • Tests in Quadratic Function and Discriminant
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Tests in Quadratic Function and Discriminant

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Current: Discriminant of a quadratic equation
  • Q1:
    1 pts
    Discriminant of the quadratic polynomial $ax^2 + bx + c$ is $$D=b^2-4ac$$
  • Q2:
    1 pts
    The discriminant of quadratic equation $x^2-3x+2=0$ is:

    1

    2

    3

    4

  • Q3:
    1 pts
    The discriminant of quadratic equation $2x^2-3=0$ is:

    24

    -24

    12

    -12

  • Q4:
    1 pts
    The discriminant of quadratic equation $x^2=0$ is:

    -1

    0

    1

    2

  • Q5:
    1 pts
    If the discriminant of an equation is $> 0$, which of the following is true
    Equation has two complex solutions
    Equation has one real solution
    Equation has two real solutions
  • Q6:
    2 pts
    Let $D$ be a discriminant of the quadratic equation which graph is shown at the right. Which of the following statements is true?
    $D>0$
    $D<0$
    $D=0$
  • Q7:
    2 pts
    If the discriminant is a perfect square the roots are rational.
  • Q8:
    2 pts
    How many and what type of solutions would an equation have if the discriminant is 1234?
    two complex solutions
    one real solution
    two real solutions
  • Q9:
    2 pts
    State the nature of the roots of the following quadratic equations $2x^2-5x+4=0$
    two complex solutions
    one real solution
    two real solutions
  • Q10:
    3 pts
    Let $D$ be a discriminant of the quadratic function $f(x)=ax^2+bx+c$ , which graph is shown at the right. Which of the following statements is true?

    a>0 , D>0

    a<0 , D<0

    a>0 , D<0

    a<0 , D>0

  • Q11:
    3 pts
    Let $D$ be a discriminant of the quadratic function $f(x)=ax^2+bx+c$ , which graph is shown at the right. Which of the following statements is true?
    $a<0 , D>0 , c>0$
    $a>0 , D>0 , c<0$
    $a<0 , D<0 , c>0$
  • Q12:
    3 pts
    If the value of a discriminant is a perfect square, then the quadratic polynomial can be factored.
  • Q13:
    3 pts
    If the value of a discriminant is zero, then the quadratic polynomial is a perfect square.
  • Q14:
    3 pts
    Determine $k$ so that $x^2-10x+k=0$ has two equal real solutions.

    10

    15

    20

    25

  • Q15:
    3 pts
    Determine $k$ so that $kx^2-2kx+1=0$ has two equal real solutions.

    k = 1 or k = 0

    k = 0

    k = 1

    k = 2 or k = 0