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

Answer sheet with worked solutions for the Year 11 quadratics worksheet.

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.Solve: x2 + 2x − 3 = 0

Answer: x = −3 or x = 1

  1. Factorise: (x + 3)(x − 1) = 0
  2. Null factor law: x + 3 = 0 or x − 1 = 0
  3. x = −3 or x = 1
2.Solve: x2 − 4x − 32 = 0

Answer: x = −4 or x = 8

  1. Factorise: (x + 4)(x − 8) = 0
  2. Null factor law: x + 4 = 0 or x − 8 = 0
  3. x = −4 or x = 8
3.Solve: x2 − 81 = 0

Answer: x = −9 or x = 9

  1. Factorise: (x + 9)(x − 9) = 0
  2. Null factor law: x + 9 = 0 or x − 9 = 0
  3. x = −9 or x = 9
4.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
5.Solve: x2 + 5x − 36 = 0

Answer: x = −9 or x = 4

  1. Factorise: (x + 9)(x − 4) = 0
  2. Null factor law: x + 9 = 0 or x − 4 = 0
  3. x = −9 or x = 4
6.Solve: x2 + 2x − 15 = 0

Answer: x = 3 or x = −5

  1. Factorise: (x − 3)(x + 5) = 0
  2. Null factor law: x − 3 = 0 or x + 5 = 0
  3. x = 3 or x = −5
7.Solve: x2 + 4x − 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 − 7x − 8 = 0

Answer: x = −1 or x = 8

  1. Factorise: (x + 1)(x − 8) = 0
  2. Null factor law: x + 1 = 0 or x − 8 = 0
  3. x = −1 or x = 8
9.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
10.Solve: x2 − 14x + 49 = 0

Answer: x = 7 or x = 7

  1. Factorise: (x − 7)(x − 7) = 0
  2. Null factor law: x − 7 = 0 or x − 7 = 0
  3. x = 7 or x = 7
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