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

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.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
2.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
3.Solve: x2 + 12x + 36 = 0

Answer: x = −6 or x = −6

  1. Factorise: (x + 6)(x + 6) = 0
  2. Null factor law: x + 6 = 0 or x + 6 = 0
  3. x = −6 or x = −6
4.Solve: x2 + 10x + 21 = 0

Answer: x = −7 or x = −3

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

Answer: x = 3 or x = 1

  1. Factorise: (x − 3)(x − 1) = 0
  2. Null factor law: x − 3 = 0 or x − 1 = 0
  3. x = 3 or x = 1
6.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
7.Solve: x2 + 14x + 49 = 0

Answer: x = −7 or x = −7

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

Answer: x = 3 or x = −5

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