Factoring and Solving Quadratics and Quadratic Equations

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

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

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

• -6, -2
• -2, 6
• 2, 6
• -6, 2

• -3, 4
• 3, 4
• -4, -3
• -3

Solve by factoring!

• -2, 4

• -8

• ±8

• No real solution