Discriminant

Multiple Choice

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

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

• The axis of symmetry

Multiple Choice

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Multiple Choice

For the given quadratic, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

Multiple Choice

If the discriminant is equal to -2, how many solutions are there?

• No Real Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Multiple Choice

A quadratic funtion has a discriminant of 25.

How many solutions does it have?

• 0

• 1

• 2

• 5

Multiple Choice

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Multiple Choice

If the discriminant is equal to 4, how many solutions are there?

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

Multiple Choice

What is the value of the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Multiple Choice

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

Multiple Choice

If the discriminant is a negative number, the quadratic function has no real roots.

• True

• False

Fill in the Blanks

Find the value of the discriminant. Type in the answer.
$3x^2+9x-2=0$  

Multiple Choice

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

Multiple Choice

Given the values of a=-5 , b=1 and c=-5, solve for the discriminant.

• -99

• 99

• 101

• -100

Multiple Choice

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Multiple Choice

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 
• 0, 1 real root with a multiplicity of 2
• -400, 2 imaginary roots
• -3, 2 imaginary roots