Factoring Quadratics and Solving by Graphing

x² + 9x - 36

• (x + 9)(x - 4)

• (x + 12)(x - 3)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor: 25x² - 9

• (5x - 3)(5x + 3)

• (x + 5)(x - 3)

• (x - 3)(x + 5)

• (5x + 3)(3x + 5)

Solve the equation by graphing.
 -x² + 12x - 36 = 0

• 6

• 3

• 4

• no solution

Answer explanation

The quadratic equation can be factored as (x-3)(x-3) = 0, which simplifies to (x-3)^2 = 0. Therefore, x = 3 is the only solution.

Write the equation for the graph in factored form.

• a. (x-5)(x+4)

• b. (x-5)(x-4)

• c. (x+5)(x+4)

• d. (x+5)(x-4)

Select the best answer.

• F

• G

• H

• J

Solve by graphing:

2x² + 17x + 21 = 0

• x= ^-21/₂ or x = -17

• x= ²/₃ or x = 16

• x=-7 or x = ^-3/₂

• x=15 or x = -³/₇

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

Solve by graphing: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5