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9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Quadratics

9th Grade Factoring and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factor, then use the zero product property.

1.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
2.Solve: x2 − 4x − 45 = 0

Answer: x = 9 or x = −5

  1. Factor: (x − 9)(x + 5) = 0
  2. Zero product property: x − 9 = 0 or x + 5 = 0
  3. x = 9 or x = −5
3.Solve: x2 − 7x + 6 = 0

Answer: x = 1 or x = 6

  1. Factor: (x − 1)(x − 6) = 0
  2. Zero product property: x − 1 = 0 or x − 6 = 0
  3. x = 1 or x = 6
4.Solve: x2 + 3x − 18 = 0

Answer: x = 3 or x = −6

  1. Factor: (x − 3)(x + 6) = 0
  2. Zero product property: x − 3 = 0 or x + 6 = 0
  3. x = 3 or x = −6
5.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
6.Solve: x2 − 17x + 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
7.Solve: x2 + 2x − 24 = 0

Answer: x = 4 or x = −6

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

Answer: x = 3 or x = 3

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