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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.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
2.Solve: x2 − 15x + 56 = 0

Answer: x = 7 or x = 8

  1. Factorise: (x − 7)(x − 8) = 0
  2. Null factor law: x − 7 = 0 or x − 8 = 0
  3. x = 7 or x = 8
3.Solve: x2 − 14x + 48 = 0

Answer: x = 8 or x = 6

  1. Factorise: (x − 8)(x − 6) = 0
  2. Null factor law: x − 8 = 0 or x − 6 = 0
  3. x = 8 or x = 6
4.Solve: x2 + 4x − 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
5.Solve: x2 − 9x + 20 = 0

Answer: x = 5 or x = 4

  1. Factorise: (x − 5)(x − 4) = 0
  2. Null factor law: x − 5 = 0 or x − 4 = 0
  3. x = 5 or x = 4
6.Solve: x2 + 16x + 64 = 0

Answer: x = −8 or x = −8

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

Answer: x = 2 or x = 6

  1. Factorise: (x − 2)(x − 6) = 0
  2. Null factor law: x − 2 = 0 or x − 6 = 0
  3. x = 2 or x = 6
8.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
9.Solve: x2 − 8x + 16 = 0

Answer: x = 4 or x = 4

  1. Factorise: (x − 4)(x − 4) = 0
  2. Null factor law: x − 4 = 0 or x − 4 = 0
  3. x = 4 or x = 4
10.Solve: x2 + 13x + 40 = 0

Answer: x = −8 or x = −5

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