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Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers

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Year 10 · Mathematics · Quadratics

Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers

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Factorise, then use the null factor law.

1.Solve: 2x2 + 9x − 18 = 0

Answer: x = or x = −6

  1. Factorise: (2x − 3)(x + 6) = 0
  2. 2x − 3 = 0 gives x =
  3. x + 6 = 0 gives x = −6
2.Solve: 2x2 + 18x + 28 = 0

Answer: x = -2 or x = −7

  1. Factorise: (2x + 4)(x + 7) = 0
  2. 2x + 4 = 0 gives x = -2
  3. x + 7 = 0 gives x = −7
3.Solve: 3x2 − 27 = 0

Answer: x = 3 or x = −3

  1. Factorise: (3x − 9)(x + 3) = 0
  2. 3x − 9 = 0 gives x = 3
  3. x + 3 = 0 gives x = −3
4.Solve: 2x2 − 4x − 16 = 0

Answer: x = 4 or x = −2

  1. Factorise: (2x − 8)(x + 2) = 0
  2. 2x − 8 = 0 gives x = 4
  3. x + 2 = 0 gives x = −2
5.Solve: 3x2 − 12x + 9 = 0

Answer: x = 3 or x = 1

  1. Factorise: (3x − 9)(x − 1) = 0
  2. 3x − 9 = 0 gives x = 3
  3. x − 1 = 0 gives x = 1
6.Solve: 2x2 + 11x + 5 = 0

Answer: x = − or x = −5

  1. Factorise: (2x + 1)(x + 5) = 0
  2. 2x + 1 = 0 gives x = −
  3. x + 5 = 0 gives x = −5
7.Solve: 2x2 + 7x − 15 = 0

Answer: x = or x = −5

  1. Factorise: (2x − 3)(x + 5) = 0
  2. 2x − 3 = 0 gives x =
  3. x + 5 = 0 gives x = −5
8.Solve: 2x2 + 15x − 8 = 0

Answer: x = or x = −8

  1. Factorise: (2x − 1)(x + 8) = 0
  2. 2x − 1 = 0 gives x =
  3. x + 8 = 0 gives x = −8
9.Solve: 3x2 − 7x − 20 = 0

Answer: x = − or x = 4

  1. Factorise: (3x + 5)(x − 4) = 0
  2. 3x + 5 = 0 gives x = −
  3. x − 4 = 0 gives x = 4
10.Solve: 3x2 + 17x + 20 = 0

Answer: x = − or x = −4

  1. Factorise: (3x + 5)(x + 4) = 0
  2. 3x + 5 = 0 gives x = −
  3. x + 4 = 0 gives x = −4
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