Interpret the Discriminant

If the discriminant is POSITIVE, the equation will have...

• 2 real solutions

• 1 real solution

• No real solutions

If the discriminant is NEGATIVE, the equation will have...

• 2 real solutions

• 1 real solution

• No real solutions

If the discriminant is ZERO, the equation will have...

• 2 real solutions

• 1 real solution

• No real solutions

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

A quadratic has a discriminant of -10. What does that tell you?

• This quadratic has no real solutions and never crosses the x-axis.

• This quadratic has a solution of -10.

• This quadratic has two real solutions and will cross the x-axis twice.

• This quadratic has one real solution.

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

When does a quadratic equation have complex solutions?

• When the discriminant is positive.

• When the quadratic equation has only one solution.

• When the discriminant is zero.

• When the discriminant is negative.

Answer explanation

A quadratic equation has complex solutions when the discriminant is negative.

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

If there are no real solutions, the discriminant is

• zero

• a postive number

• a negative number

• a perfect square

Which graph has a discriminant = 0?

• None of them

• Red

• Blue

• Green