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

Answer sheet with worked solutions for the 11th Grade quadratics worksheet.

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Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics

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

Factor, then use the zero product property.

1.Solve: x2 − 7x + 10 = 0

Answer: x = 5 or x = 2

  1. Factor: (x − 5)(x − 2) = 0
  2. Zero product property: x − 5 = 0 or x − 2 = 0
  3. x = 5 or x = 2
2.Solve: x2 − 2x − 24 = 0

Answer: x = 6 or x = −4

  1. Factor: (x − 6)(x + 4) = 0
  2. Zero product property: x − 6 = 0 or x + 4 = 0
  3. x = 6 or x = −4
3.Solve: x2 + 6x − 16 = 0

Answer: x = −8 or x = 2

  1. Factor: (x + 8)(x − 2) = 0
  2. Zero product property: x + 8 = 0 or x − 2 = 0
  3. x = −8 or x = 2
4.Solve: x2 − 7x − 18 = 0

Answer: x = −2 or x = 9

  1. Factor: (x + 2)(x − 9) = 0
  2. Zero product property: x + 2 = 0 or x − 9 = 0
  3. x = −2 or x = 9
5.Solve: x2 + 11x + 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
6.Solve: x2 − 4x + 3 = 0

Answer: x = 1 or x = 3

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

Answer: x = −5 or x = 3

  1. Factor: (x + 5)(x − 3) = 0
  2. Zero product property: x + 5 = 0 or x − 3 = 0
  3. x = −5 or x = 3
8.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
9.Solve: x2 − 16x + 64 = 0

Answer: x = 8 or x = 8

  1. Factor: (x − 8)(x − 8) = 0
  2. Zero product property: x − 8 = 0 or x − 8 = 0
  3. x = 8 or x = 8
10.Solve: x2 − 2x − 48 = 0

Answer: x = −6 or x = 8

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