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11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics

11th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

Factor, then use the zero product property.

1.Solve: x2 + x − 56 = 0

Answer: x = −8 or x = 7

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

Answer: x = 7 or x = 1

  1. Factor: (x − 7)(x − 1) = 0
  2. Zero product property: x − 7 = 0 or x − 1 = 0
  3. x = 7 or x = 1
3.Solve: x2 + 4x − 32 = 0

Answer: x = −8 or x = 4

  1. Factor: (x + 8)(x − 4) = 0
  2. Zero product property: x + 8 = 0 or x − 4 = 0
  3. x = −8 or x = 4
4.Solve: x2 + x − 30 = 0

Answer: x = −6 or x = 5

  1. Factor: (x + 6)(x − 5) = 0
  2. Zero product property: x + 6 = 0 or x − 5 = 0
  3. x = −6 or x = 5
5.Solve: x2 + 15x + 54 = 0

Answer: x = −9 or x = −6

  1. Factor: (x + 9)(x + 6) = 0
  2. Zero product property: x + 9 = 0 or x + 6 = 0
  3. x = −9 or x = −6
6.Solve: x2 − 13x + 42 = 0

Answer: x = 6 or x = 7

  1. Factor: (x − 6)(x − 7) = 0
  2. Zero product property: x − 6 = 0 or x − 7 = 0
  3. x = 6 or x = 7
7.Solve: x2 − 15x + 56 = 0

Answer: x = 8 or x = 7

  1. Factor: (x − 8)(x − 7) = 0
  2. Zero product property: x − 8 = 0 or x − 7 = 0
  3. x = 8 or x = 7
8.Solve: x2 − 81 = 0

Answer: x = −9 or x = 9

  1. Factor: (x + 9)(x − 9) = 0
  2. Zero product property: x + 9 = 0 or x − 9 = 0
  3. x = −9 or x = 9
9.Solve: x2 − 3x − 40 = 0

Answer: x = 8 or x = −5

  1. Factor: (x − 8)(x + 5) = 0
  2. Zero product property: x − 8 = 0 or x + 5 = 0
  3. x = 8 or x = −5
10.Solve: x2 − 11x + 18 = 0

Answer: x = 9 or x = 2

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