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Year 10 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 10 quadratics worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Quadratics

Year 10 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

Factorise, then use the null factor law.

1.Solve: x2 + 5x + 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 − 6x + 5 = 0

Answer: x = 1 or x = 5

  1. Factorise: (x − 1)(x − 5) = 0
  2. Null factor law: x − 1 = 0 or x − 5 = 0
  3. x = 1 or x = 5
3.Solve: x2 + 18x + 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
4.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
5.Solve: x2 + 7x + 12 = 0

Answer: x = −3 or x = −4

  1. Factorise: (x + 3)(x + 4) = 0
  2. Null factor law: x + 3 = 0 or x + 4 = 0
  3. x = −3 or x = −4
6.Solve: x2 − 15x + 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
7.Solve: x2 − 13x + 40 = 0

Answer: x = 8 or x = 5

  1. Factorise: (x − 8)(x − 5) = 0
  2. Null factor law: x − 8 = 0 or x − 5 = 0
  3. x = 8 or x = 5
8.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
9.Solve: x2 − 3x − 10 = 0

Answer: x = −2 or x = 5

  1. Factorise: (x + 2)(x − 5) = 0
  2. Null factor law: x + 2 = 0 or x − 5 = 0
  3. x = −2 or x = 5
10.Solve: x2 + 10x + 16 = 0

Answer: x = −2 or x = −8

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