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Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

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Year 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

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Factorise, then use the null factor law.

1.Solve: x2 − 13x + 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
2.Solve: x2 − 5x − 36 = 0

Answer: x = 9 or x = −4

  1. Factorise: (x − 9)(x + 4) = 0
  2. Null factor law: x − 9 = 0 or x + 4 = 0
  3. x = 9 or x = −4
3.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
4.Solve: x2 + 2x − 24 = 0

Answer: x = −6 or x = 4

  1. Factorise: (x + 6)(x − 4) = 0
  2. Null factor law: x + 6 = 0 or x − 4 = 0
  3. x = −6 or x = 4
5.Solve: x2 + 12x + 35 = 0

Answer: x = −7 or x = −5

  1. Factorise: (x + 7)(x + 5) = 0
  2. Null factor law: x + 7 = 0 or x + 5 = 0
  3. x = −7 or x = −5
6.Solve: x2 + 14x + 45 = 0

Answer: x = −9 or x = −5

  1. Factorise: (x + 9)(x + 5) = 0
  2. Null factor law: x + 9 = 0 or x + 5 = 0
  3. x = −9 or x = −5
7.Solve: x2 − 4x + 4 = 0

Answer: x = 2 or x = 2

  1. Factorise: (x − 2)(x − 2) = 0
  2. Null factor law: x − 2 = 0 or x − 2 = 0
  3. x = 2 or x = 2
8.Solve: x2 + 12x + 27 = 0

Answer: x = −3 or x = −9

  1. Factorise: (x + 3)(x + 9) = 0
  2. Null factor law: x + 3 = 0 or x + 9 = 0
  3. x = −3 or x = −9
9.Solve: x2 + 7x − 8 = 0

Answer: x = −8 or x = 1

  1. Factorise: (x + 8)(x − 1) = 0
  2. Null factor law: x + 8 = 0 or x − 1 = 0
  3. x = −8 or x = 1
10.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
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