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Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

Factorise, then use the null factor law.

1.Solve: x2 − 5x + 6 = 0

Answer: x = 2 or x = 3

  1. Factorise: (x − 2)(x − 3) = 0
  2. Null factor law: x − 2 = 0 or x − 3 = 0
  3. x = 2 or x = 3
2.Solve: x2 − 12x + 27 = 0

Answer: x = 9 or x = 3

  1. Factorise: (x − 9)(x − 3) = 0
  2. Null factor law: x − 9 = 0 or x − 3 = 0
  3. x = 9 or x = 3
3.Solve: x2 + 2x − 63 = 0

Answer: x = −9 or x = 7

  1. Factorise: (x + 9)(x − 7) = 0
  2. Null factor law: x + 9 = 0 or x − 7 = 0
  3. x = −9 or x = 7
4.Solve: x2 + 6x − 27 = 0

Answer: x = 3 or x = −9

  1. Factorise: (x − 3)(x + 9) = 0
  2. Null factor law: x − 3 = 0 or x + 9 = 0
  3. x = 3 or x = −9
5.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
6.Solve: x2 − 3x − 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
7.Solve: x2 − 10x + 16 = 0

Answer: x = 8 or x = 2

  1. Factorise: (x − 8)(x − 2) = 0
  2. Null factor law: x − 8 = 0 or x − 2 = 0
  3. x = 8 or x = 2
8.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
9.Solve: x2 + 11x + 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 + 8x + 12 = 0

Answer: x = −6 or x = −2

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