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

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Year 10 · Mathematics · Quadratics

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

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Factorise, then use the null factor law.

1.Solve: x2 − 2x − 48 = 0

Answer: x = −6 or x = 8

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

Answer: x = −1 or x = −7

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

Answer: x = 5 or x = 2

  1. Factorise: (x − 5)(x − 2) = 0
  2. Null factor law: x − 5 = 0 or x − 2 = 0
  3. x = 5 or x = 2
7.Solve: x2 + 5x − 36 = 0

Answer: x = −9 or x = 4

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

Answer: x = 1 or x = 9

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

Answer: x = −6 or x = −3

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