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Year 10 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Quadratics

Year 10 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factorise, then use the null factor law.

1.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
2.Solve: x2 − 11x + 18 = 0

Answer: x = 2 or x = 9

  1. Factorise: (x − 2)(x − 9) = 0
  2. Null factor law: x − 2 = 0 or x − 9 = 0
  3. x = 2 or x = 9
3.Solve: x2 − 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
4.Solve: x2 − 4x − 12 = 0

Answer: x = 6 or x = −2

  1. Factorise: (x − 6)(x + 2) = 0
  2. Null factor law: x − 6 = 0 or x + 2 = 0
  3. x = 6 or x = −2
5.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
6.Solve: x2 − 81 = 0

Answer: x = −9 or x = 9

  1. Factorise: (x + 9)(x − 9) = 0
  2. Null factor law: x + 9 = 0 or x − 9 = 0
  3. x = −9 or x = 9
7.Solve: x2 + 3x − 18 = 0

Answer: x = 3 or x = −6

  1. Factorise: (x − 3)(x + 6) = 0
  2. Null factor law: x − 3 = 0 or x + 6 = 0
  3. x = 3 or x = −6
8.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
9.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
10.Solve: x2 + 10x + 16 = 0

Answer: x = −8 or x = −2

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