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

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Year 10 · Mathematics · Quadratics

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

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Factorise, then use the null factor law.

1.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
2.Solve: x2 − 5x − 36 = 0

Answer: x = −4 or x = 9

  1. Factorise: (x + 4)(x − 9) = 0
  2. Null factor law: x + 4 = 0 or x − 9 = 0
  3. x = −4 or x = 9
3.Solve: x2 − 3x − 54 = 0

Answer: x = −6 or x = 9

  1. Factorise: (x + 6)(x − 9) = 0
  2. Null factor law: x + 6 = 0 or x − 9 = 0
  3. x = −6 or x = 9
4.Solve: x2 − 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
5.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
6.Solve: x2 + x − 12 = 0

Answer: x = −4 or x = 3

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