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10th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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10th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factor, then use the zero product property.

1.Solve: x2 − 1 = 0

Answer: x = −1 or x = 1

  1. Factor: (x + 1)(x − 1) = 0
  2. Zero product property: x + 1 = 0 or x − 1 = 0
  3. x = −1 or x = 1
2.Solve: x2 − 9x + 14 = 0

Answer: x = 2 or x = 7

  1. Factor: (x − 2)(x − 7) = 0
  2. Zero product property: x − 2 = 0 or x − 7 = 0
  3. x = 2 or x = 7
3.Solve: x2 − 15x + 56 = 0

Answer: x = 7 or x = 8

  1. Factor: (x − 7)(x − 8) = 0
  2. Zero product property: x − 7 = 0 or x − 8 = 0
  3. x = 7 or x = 8
4.Solve: x2 − 6x − 27 = 0

Answer: x = −3 or x = 9

  1. Factor: (x + 3)(x − 9) = 0
  2. Zero product property: x + 3 = 0 or x − 9 = 0
  3. x = −3 or x = 9
5.Solve: x2 + x − 72 = 0

Answer: x = −9 or x = 8

  1. Factor: (x + 9)(x − 8) = 0
  2. Zero product property: x + 9 = 0 or x − 8 = 0
  3. x = −9 or x = 8
6.Solve: x2 + 3x − 28 = 0

Answer: x = −7 or x = 4

  1. Factor: (x + 7)(x − 4) = 0
  2. Zero product property: x + 7 = 0 or x − 4 = 0
  3. x = −7 or x = 4
7.Solve: x2 + x − 56 = 0

Answer: x = 7 or x = −8

  1. Factor: (x − 7)(x + 8) = 0
  2. Zero product property: x − 7 = 0 or x + 8 = 0
  3. x = 7 or x = −8
8.Solve: x2 − 3x − 40 = 0

Answer: x = −5 or x = 8

  1. Factor: (x + 5)(x − 8) = 0
  2. Zero product property: x + 5 = 0 or x − 8 = 0
  3. x = −5 or x = 8
9.Solve: x2 − 12x + 35 = 0

Answer: x = 7 or x = 5

  1. Factor: (x − 7)(x − 5) = 0
  2. Zero product property: x − 7 = 0 or x − 5 = 0
  3. x = 7 or x = 5
10.Solve: x2 + 6x + 9 = 0

Answer: x = −3 or x = −3

  1. Factor: (x + 3)(x + 3) = 0
  2. Zero product property: x + 3 = 0 or x + 3 = 0
  3. x = −3 or x = −3
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