Discriminant

The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

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

y = x² + 4x + 4

• Positive

• Negative

• Zero

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

How many x-intercepts does it have?

• 0

• 1

• 2

• 5

What is the discriminant of -2x² − x − 1 = 0 ?

• 76

• -7

• 9

• none of these

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

• Positive

• Negative

• Zero

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

• Positive

• Negative

• Zero

Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

• 256 - 2 reals - Rational

• √(-256 - 2 imaginary solutions

• √(137) - 2 reals - Irrational

• 123 - 2 reals - Rational

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions. (x-intercepts)

• The axis of symmetry

If the discriminant is equal to 10, how many solutions are there?

• 2 Real, Irrational Solutions

• 1 Real Solution

• 2 Real Rational Solutions

• No Real Solutions