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Quadratic Equations, Inequalities, and Functions
Quadratic function and discriminant
Discriminant of a quadratic equation
Discriminant of a quadratic equation
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Question 1:
1 pts
Discriminant of the quadratic polynomial
is
Question 2:
1 pts
The discriminant of quadratic equation
is:
Question 3:
1 pts
The discriminant of quadratic equation
is:
Question 4:
1 pts
The discriminant of quadratic equation
is:
Question 5:
1 pts
If the discriminant of an equation is
, which of the following is true
Equation has two complex solutions
Equation has one real solution
Equation has two real solutions
Question 6:
2 pts
Let
be a discriminant of the quadratic equation which graph is shown at the right. Which of the following statements is true?
Question 7:
2 pts
If the discriminant is a perfect square the roots are rational.
Question 8:
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
Question 9:
2 pts
State the nature of the roots of the following quadratic equations
two complex solutions
one real solution
two real solutions
Question 10:
3 pts
Let
be a discriminant of the quadratic function
, 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
Question 11:
3 pts
Let
be a discriminant of the quadratic function
, which graph is shown at the right. Which of the following statements is true?
Question 12:
3 pts
If the value of a discriminant is a perfect square, then the quadratic polynomial can be factored.
Question 13:
3 pts
If the value of a discriminant is zero, then the quadratic polynomial is a perfect square.
Question 14:
3 pts
Determine
so that
has two equal real solutions.
Question 15:
3 pts
Determine
so that
has two equal real solutions.
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Pre-algebra
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Solving quadratic equations
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Graphing function and discriminant
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Discriminant of a quadratic equation