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10th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers

Factor, then use the zero product property.

1.Solve: x2 − 14x + 49 = 0

Answer: x = 7 or x = 7

  1. Factor: (x − 7)(x − 7) = 0
  2. Zero product property: x − 7 = 0 or x − 7 = 0
  3. x = 7 or x = 7
2.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
3.Solve: x2 − 13x + 36 = 0

Answer: x = 4 or x = 9

  1. Factor: (x − 4)(x − 9) = 0
  2. Zero product property: x − 4 = 0 or x − 9 = 0
  3. x = 4 or x = 9
4.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
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 + 8x + 12 = 0

Answer: x = −6 or x = −2

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

Answer: x = −1 or x = 4

  1. Factor: (x + 1)(x − 4) = 0
  2. Zero product property: x + 1 = 0 or x − 4 = 0
  3. x = −1 or x = 4
8.Solve: x2 + 5x − 36 = 0

Answer: x = 4 or x = −9

  1. Factor: (x − 4)(x + 9) = 0
  2. Zero product property: x − 4 = 0 or x + 9 = 0
  3. x = 4 or x = −9
9.Solve: x2 − 16 = 0

Answer: x = −4 or x = 4

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

Answer: x = 1 or x = −4

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