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

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics

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

Factor, then use the zero product property.

1.Solve: x2 − 2x + 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 + 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
3.Solve: x2 − 2x − 48 = 0

Answer: x = 8 or x = −6

  1. Factor: (x − 8)(x + 6) = 0
  2. Zero product property: x − 8 = 0 or x + 6 = 0
  3. x = 8 or x = −6
4.Solve: x2 − 3x − 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
5.Solve: x2 − x − 42 = 0

Answer: x = 7 or x = −6

  1. Factor: (x − 7)(x + 6) = 0
  2. Zero product property: x − 7 = 0 or x + 6 = 0
  3. x = 7 or x = −6
6.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
7.Solve: x2 − 10x + 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
8.Solve: x2 − 14x + 48 = 0

Answer: x = 8 or x = 6

  1. Factor: (x − 8)(x − 6) = 0
  2. Zero product property: x − 8 = 0 or x − 6 = 0
  3. x = 8 or x = 6
9.Solve: x2 + 6x − 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
10.Solve: x2 + 5x + 4 = 0

Answer: x = −4 or x = −1

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