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Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Quadratics

Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factorise, then use the null factor law.

1.Solve: x2 + 7x + 12 = 0

Answer: x = −3 or x = −4

  1. Factorise: (x + 3)(x + 4) = 0
  2. Null factor law: x + 3 = 0 or x + 4 = 0
  3. x = −3 or x = −4
2.Solve: x2 + x − 42 = 0

Answer: x = 6 or x = −7

  1. Factorise: (x − 6)(x + 7) = 0
  2. Null factor law: x − 6 = 0 or x + 7 = 0
  3. x = 6 or x = −7
3.Solve: x2 − 5x − 14 = 0

Answer: x = 7 or x = −2

  1. Factorise: (x − 7)(x + 2) = 0
  2. Null factor law: x − 7 = 0 or x + 2 = 0
  3. x = 7 or x = −2
4.Solve: x2 − 11x + 24 = 0

Answer: x = 3 or x = 8

  1. Factorise: (x − 3)(x − 8) = 0
  2. Null factor law: x − 3 = 0 or x − 8 = 0
  3. x = 3 or x = 8
5.Solve: x2 − 3x − 40 = 0

Answer: x = 8 or x = −5

  1. Factorise: (x − 8)(x + 5) = 0
  2. Null factor law: x − 8 = 0 or x + 5 = 0
  3. x = 8 or x = −5
6.Solve: x2 − 4x − 5 = 0

Answer: x = 5 or x = −1

  1. Factorise: (x − 5)(x + 1) = 0
  2. Null factor law: x − 5 = 0 or x + 1 = 0
  3. x = 5 or x = −1
7.Solve: x2 + 16x + 64 = 0

Answer: x = −8 or x = −8

  1. Factorise: (x + 8)(x + 8) = 0
  2. Null factor law: x + 8 = 0 or x + 8 = 0
  3. x = −8 or x = −8
8.Solve: x2 + 7x + 6 = 0

Answer: x = −6 or x = −1

  1. Factorise: (x + 6)(x + 1) = 0
  2. Null factor law: x + 6 = 0 or x + 1 = 0
  3. x = −6 or x = −1
9.Solve: x2 − 13x + 36 = 0

Answer: x = 4 or x = 9

  1. Factorise: (x − 4)(x − 9) = 0
  2. Null factor law: x − 4 = 0 or x − 9 = 0
  3. x = 4 or x = 9
10.Solve: x2 − 6x + 8 = 0

Answer: x = 4 or x = 2

  1. Factorise: (x − 4)(x − 2) = 0
  2. Null factor law: x − 4 = 0 or x − 2 = 0
  3. x = 4 or x = 2
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