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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.Solve: x2 + 13x + 42 = 0

Answer: x = −7 or x = −6

  1. Factorise: (x + 7)(x + 6) = 0
  2. Null factor law: x + 7 = 0 or x + 6 = 0
  3. x = −7 or x = −6
2.Solve: x2 + 8x − 9 = 0

Answer: x = −9 or x = 1

  1. Factorise: (x + 9)(x − 1) = 0
  2. Null factor law: x + 9 = 0 or x − 1 = 0
  3. x = −9 or x = 1
3.Solve: x2 − x − 20 = 0

Answer: x = 5 or x = −4

  1. Factorise: (x − 5)(x + 4) = 0
  2. Null factor law: x − 5 = 0 or x + 4 = 0
  3. x = 5 or x = −4
4.Solve: x2 − 8x + 15 = 0

Answer: x = 3 or x = 5

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

Answer: x = 3 or x = −1

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

Answer: x = 7 or x = −1

  1. Factorise: (x − 7)(x + 1) = 0
  2. Null factor law: x − 7 = 0 or x + 1 = 0
  3. x = 7 or x = −1
7.Solve: x2 − 10x + 24 = 0

Answer: x = 4 or x = 6

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

Answer: x = −3 or x = 3

  1. Factorise: (x + 3)(x − 3) = 0
  2. Null factor law: x + 3 = 0 or x − 3 = 0
  3. x = −3 or x = 3
9.Solve: x2 − 6x − 27 = 0

Answer: x = 9 or x = −3

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

Answer: x = 1 or x = 8

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