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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.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
2.Solve: x2 − 2x − 48 = 0

Answer: x = −6 or x = 8

  1. Factorise: (x + 6)(x − 8) = 0
  2. Null factor law: x + 6 = 0 or x − 8 = 0
  3. x = −6 or x = 8
3.Solve: x2 − 7x − 18 = 0

Answer: x = 9 or x = −2

  1. Factorise: (x − 9)(x + 2) = 0
  2. Null factor law: x − 9 = 0 or x + 2 = 0
  3. x = 9 or x = −2
4.Solve: x2 − x − 56 = 0

Answer: x = 8 or x = −7

  1. Factorise: (x − 8)(x + 7) = 0
  2. Null factor law: x − 8 = 0 or x + 7 = 0
  3. x = 8 or x = −7
5.Solve: x2 − 8x + 15 = 0

Answer: x = 5 or x = 3

  1. Factorise: (x − 5)(x − 3) = 0
  2. Null factor law: x − 5 = 0 or x − 3 = 0
  3. x = 5 or x = 3
6.Solve: x2 + 6x + 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
7.Solve: x2 − 4x − 21 = 0

Answer: x = −3 or x = 7

  1. Factorise: (x + 3)(x − 7) = 0
  2. Null factor law: x + 3 = 0 or x − 7 = 0
  3. x = −3 or x = 7
8.Solve: x2 − 5x − 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
9.Solve: x2 + 3x − 54 = 0

Answer: x = −9 or x = 6

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