Solving Quadratic Equations by Factoring and Graphing

Solve by graphing.

• (0, -3) & (0, 3)

• (0, 3)

• (3, 0)

• (-3, 0) & (3, 0)

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

Complete the square:

x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Complete the square:

x² + 10x + ____

• x² + 10x - 100

• x² + 10x + 100

• x² + 10x - 25

• x² + 10x + 25

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Solve the following quadratic equation by factoring. x² - 9x + 20 = 0

• x = -2 or x = 10

• x = -5 or x = -4

• x = 4 or x = 5

• Not factorable

Solve the following quadratic equation by factoring.

x² + 2x - 15 = 0

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

• ±√9
• ±3
• ±1
• No real solution

Solve the following quadratic equation by factoring.

• x = -6 or x = -2

• x = -2 or x = 6

• x = 2 or x = 6

• x = -6 or x = 2

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3