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Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Answers

Factorise, then use the null factor law.

1.Solve: 3x2 + 10x + 3 = 0

Answer: x = − or x = −3

  1. Factorise: (3x + 1)(x + 3) = 0
  2. 3x + 1 = 0 gives x = −
  3. x + 3 = 0 gives x = −3
2.Solve: 3x2 + 14x − 24 = 0

Answer: x = or x = −6

  1. Factorise: (3x − 4)(x + 6) = 0
  2. 3x − 4 = 0 gives x =
  3. x + 6 = 0 gives x = −6
3.Solve: 3x2 + 18x + 15 = 0

Answer: x = -1 or x = −5

  1. Factorise: (3x + 3)(x + 5) = 0
  2. 3x + 3 = 0 gives x = -1
  3. x + 5 = 0 gives x = −5
4.Solve: 2x2 + 26x + 72 = 0

Answer: x = -4 or x = −9

  1. Factorise: (2x + 8)(x + 9) = 0
  2. 2x + 8 = 0 gives x = -4
  3. x + 9 = 0 gives x = −9
5.Solve: 3x2 − 21x − 24 = 0

Answer: x = -1 or x = 8

  1. Factorise: (3x + 3)(x − 8) = 0
  2. 3x + 3 = 0 gives x = -1
  3. x − 8 = 0 gives x = 8
6.Solve: 2x2 + 13x + 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
7.Solve: 2x2 + 6x + 4 = 0

Answer: x = -2 or x = −1

  1. Factorise: (2x + 4)(x + 1) = 0
  2. 2x + 4 = 0 gives x = -2
  3. x + 1 = 0 gives x = −1
8.Solve: 3x2 + 18x − 81 = 0

Answer: x = 3 or x = −9

  1. Factorise: (3x − 9)(x + 9) = 0
  2. 3x − 9 = 0 gives x = 3
  3. x + 9 = 0 gives x = −9
9.Solve: 3x2 + 34x + 63 = 0

Answer: x = − or x = −9

  1. Factorise: (3x + 7)(x + 9) = 0
  2. 3x + 7 = 0 gives x = −
  3. x + 9 = 0 gives x = −9
10.Solve: 2x2 − 15x + 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
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