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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.Solve: x2 + 11x + 24 = 0

Answer: x = −8 or x = −3

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

Answer: x = −1 or x = 1

  1. Factorise: (x + 1)(x − 1) = 0
  2. Null factor law: x + 1 = 0 or x − 1 = 0
  3. x = −1 or x = 1
5.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
6.Solve: x2 − 11x + 28 = 0

Answer: x = 7 or x = 4

  1. Factorise: (x − 7)(x − 4) = 0
  2. Null factor law: x − 7 = 0 or x − 4 = 0
  3. x = 7 or x = 4
7.Solve: x2 − 4x − 21 = 0

Answer: x = 7 or x = −3

  1. Factorise: (x − 7)(x + 3) = 0
  2. Null factor law: x − 7 = 0 or x + 3 = 0
  3. x = 7 or x = −3
8.Solve: x2 − 36 = 0

Answer: x = 6 or x = −6

  1. Factorise: (x − 6)(x + 6) = 0
  2. Null factor law: x − 6 = 0 or x + 6 = 0
  3. x = 6 or x = −6
9.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
10.Solve: x2 − 5x − 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
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