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Practice

8.9.5 Practice

8.9.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 5, solve each quadratic equation by rewriting it in factored form and using the zero product property.

  1. x 2 + 11 x + 35 = 7
  1. x = − 5 and x = − 7
  2. x = 14 and x = − 3
  3. x = − 6 and x = − 7
  4. x = − 4 and x = − 7
  1. x 2 − 14 x + 20 = − 25
  1. x = 9 and x = 5
  2. x = − 10 and x = − 4
  3. x = 10 and x = 2
  4. x = 3 and x = 15
  1. x 2 − 6 x − 52 = − 12
  1. x = − 8 and x = 5
  2. x = 10 and x = − 4
  3. x = 8 and x = − 8
  4. x = − 16 and x = 10
  1. x 2 − x − 64 = − 8
  1. x = 4 and x = − 14
  2. x = 28 and x = − 2
  3. x = − 7 and x = 8
  4. x = 8 and x = − 8
  1. x 2 + 9 x + 13 = − 5
  1. x = 3 and x = 6
  2. x = 8 and x = 1
  3. x = − 9 and x = − 2
  4. x = − 3 and x = − 6
  1. Without graphing, identify the function whose graph has only one zero.
  1. f ( x ) = x 2 − 8 x + 16
  2. f ( x ) = x 2 + 6 x + 5
  3. f ( x ) = x 2 − 13 x + 42
  4. f ( x ) = x 2 − 9
  1. Without graphing, identify the function whose graph has only one zero.
  1. f ( x ) = x 2 − 10 x + 9
  2. f ( x ) = x 2 + 12 x + 36
  3. f ( x ) = x 2 + x − 30
  4. f ( x ) = x 2 + 7 x − 30
  1. Without graphing, identify the function whose graph has two zeros.
  1. f ( x ) = x 2 − 12 x + 36
  2. f ( x ) = x 2 + 8 x + 16
  3. f ( x ) = x 2 − 8 x + 16
  4. f ( x ) = x 2 − 81
  1. Without graphing, identify the function whose graph has two zeros.
  1. f ( x ) = x 2 − 14 x + 49
  2. f ( x ) = x 2 + 16 x + 64
  3. f ( x ) = x 2 + 4 x − 21
  4. f ( x ) = x 2 − 10 x + 25
  1. Solve the equation: x 2 − 18 x + 90 = 9 .
  1. x = 9
  2. x = − 10 and x = 8
  3. x = − 9 and x = 9
  4. x = − 9