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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