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Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factorise, then use the null factor law.

1.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
2.Solve: x2 + 8x + 16 = 0

Answer: x = −4 or x = −4

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

Answer: x = 2 or x = 4

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

Answer: x = 7 or x = 2

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

Answer: x = −1 or x = −3

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

Answer: x = −4 or x = 7

  1. Factorise: (x + 4)(x − 7) = 0
  2. Null factor law: x + 4 = 0 or x − 7 = 0
  3. x = −4 or x = 7
9.Solve: x2 + 10x + 25 = 0

Answer: x = −5 or x = −5

  1. Factorise: (x + 5)(x + 5) = 0
  2. Null factor law: x + 5 = 0 or x + 5 = 0
  3. x = −5 or x = −5
10.Solve: x2 + 2x − 48 = 0

Answer: x = −8 or x = 6

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