Solving Quadratic Equations by Factoring and Quadratic Formula

When solving 2x² - 8x + 6 = 0 using the quadratic formula, which is the correct value for b?

• -8

• 6

• 8

• -6

What type of solutions does a quadratic equation have if the discriminant is negative?

• No real solutions

• One real solution

• Two distinct real solutions

• Two complex solutions

For the equation x² - 8x + 15 = 0, what is the sum of the roots?

• -15

• 8

• -8

• 15

Which method is useful for solving quadratic equations when the coefficient of x² is not 1?

• Factoring

• Completing the square

• Extracting the square root

• Quadratic formula

In the quadratic formula, what does the term b² - 4ac represent?

• The vertex of the parabola

• The axis of symmetry

• The distance between the roots

• The two possible values for the roots

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Choose the best method to solve this quadratic:

​ (a)  

-3 = 4x² + 9x

• Quadratic Formula

• Square Roots

• ZPP

Choose the best method to solve this quadratic:

​​ (a)  

x² + 8x - 13 = 0

• Square Roots

• ZPP

• Quadratic Formula

Choose the best method to solve this quadratic:

​ ​ (a)  

x² = - x + 1

• Quadratic Formula

• ZPP

• Square Roots

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined