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

Answer sheet with worked solutions for the 10th Grade quadratics worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics

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

Factor, then use the zero product property.

1.Solve: x2 + 17x + 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
2.Solve: x2 + 2x − 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
3.Solve: x2 − 15x + 54 = 0

Answer: x = 6 or x = 9

  1. Factor: (x − 6)(x − 9) = 0
  2. Zero product property: x − 6 = 0 or x − 9 = 0
  3. x = 6 or x = 9
4.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
5.Solve: x2 + x − 72 = 0

Answer: x = 8 or x = −9

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

Answer: x = 4 or x = −3

  1. Factor: (x − 4)(x + 3) = 0
  2. Zero product property: x − 4 = 0 or x + 3 = 0
  3. x = 4 or x = −3
7.Solve: x2 − 10x + 9 = 0

Answer: x = 9 or x = 1

  1. Factor: (x − 9)(x − 1) = 0
  2. Zero product property: x − 9 = 0 or x − 1 = 0
  3. x = 9 or x = 1
8.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
9.Solve: x2 − 4x − 32 = 0

Answer: x = −4 or x = 8

  1. Factor: (x + 4)(x − 8) = 0
  2. Zero product property: x + 4 = 0 or x − 8 = 0
  3. x = −4 or x = 8
10.Solve: x2 − 7x + 12 = 0

Answer: x = 3 or x = 4

  1. Factor: (x − 3)(x − 4) = 0
  2. Zero product property: x − 3 = 0 or x − 4 = 0
  3. x = 3 or x = 4
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