Solving Quadratic Equations by Factoring and Graphing

• Graphing

• Factoring

• Completing the square

• Taking square roots

• Find two numbers that multiply to 6 and add to 5

• Find two numbers that multiply to 5 and add to 6

• Find two numbers that multiply to 11 and add to 5

• Find two numbers that multiply to 5 and add to 11

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

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

• ±√9
• ±3
• ±1
• No real solution

• A
  Roots
  x = 2
  x = -4
• B
  Roots
  x = 2
  x = 4
• C
  Roots
  x = -2
  x = -4
• D
  Roots
  x = 0
  x = 4

• A
  1 Real Solution
• B
  2 Real Solutions
• C
  No Real Solutions
• D
  Half a Solution

• A
  Roots are -1 and -3
• B
  Roots are 0 and 3
• C
  Roots are 1 and 4
• D
  Roots are -1 and 3

What is another name for the solutions to a quadratic?

• y-intercepts

• Zeros

• Maximums

• Minimums

• ±72
• ±12
• 12
• No real solution