Solving Polynomial Equations and Quadratic Form

Given the equation 5x² - 7x + 2= 0, how many possible solutions can we find?

• Two real solutions

• One real solution

• No real solutions

For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 2x + 3

• Positive
• Negative
• Zero
• Not Sure

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

• Positive
• Negative
• Zero
• Not Sure

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

• Positive
• Negative
• Zero
• Not Sure

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

• Positive
• Negative
• Zero
• Not Sure

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

• 76

• -7

• 9

• none of these

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

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

Is (2, 3) part of the solution set? 
y < 2x² -3x+1

• Yes
• No

Who did Robert Downey Jr. play in The Avengers?

• Iron Man
• Deadpool
• Captain America
• Spiderman