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Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

Factorise, then use the null factor law.

1.Solve: x2 + 9x + 20 = 0

Answer: x = −4 or x = −5

  1. Factorise: (x + 4)(x + 5) = 0
  2. Null factor law: x + 4 = 0 or x + 5 = 0
  3. x = −4 or x = −5
2.Solve: x2 − 10x + 9 = 0

Answer: x = 1 or x = 9

  1. Factorise: (x − 1)(x − 9) = 0
  2. Null factor law: x − 1 = 0 or x − 9 = 0
  3. x = 1 or x = 9
3.Solve: x2 + 16x + 63 = 0

Answer: x = −7 or x = −9

  1. Factorise: (x + 7)(x + 9) = 0
  2. Null factor law: x + 7 = 0 or x + 9 = 0
  3. x = −7 or x = −9
4.Solve: x2 − 5x − 14 = 0

Answer: x = −2 or x = 7

  1. Factorise: (x + 2)(x − 7) = 0
  2. Null factor law: x + 2 = 0 or x − 7 = 0
  3. x = −2 or x = 7
5.Solve: x2 + 9x + 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 + 30 = 0

Answer: x = −5 or x = −6

  1. Factorise: (x + 5)(x + 6) = 0
  2. Null factor law: x + 5 = 0 or x + 6 = 0
  3. x = −5 or x = −6
7.Solve: x2 − 9x + 14 = 0

Answer: x = 2 or x = 7

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

Answer: x = 2 or x = −1

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

Answer: x = 4 or x = −1

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