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Year 12 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Quadratics

Year 12 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

Factorise, then use the null factor law.

1.Solve: x2 + 8x − 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
2.Solve: x2 − 8x + 15 = 0

Answer: x = 5 or x = 3

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

Answer: x = 6 or x = 1

  1. Factorise: (x − 6)(x − 1) = 0
  2. Null factor law: x − 6 = 0 or x − 1 = 0
  3. x = 6 or x = 1
4.Solve: x2 − 11x + 30 = 0

Answer: x = 6 or x = 5

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

Answer: x = 1 or x = −5

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

Answer: x = 3 or x = −4

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

Answer: x = −3 or x = −2

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