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Grade 9 · Algebra
Factorising: The Complete Exam Guide (Every Type)
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  / 30

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Factorise 5x + 15 (common factor)
    (2)
  2. 2
    Factorise 8a2b − 12ab (common factor)
    (2)
  3. 3
    Factorise x2 − 49 (difference of squares)
    (2)
  4. 4
    Factorise 25x2 − 9 (difference of squares)
    (2)
  5. 5
    Factorise 3x2 − 27 (common factor first)
    (2)
  6. 6
    Factorise x2 + 9x + 20 (trinomial, both +)
    (2)
  7. 7
    Factorise x2 − 8x + 15 (trinomial, c + b −)
    (2)
  8. 8
    Factorise x2 + 2x − 15 (trinomial, c −)
    (2)
  9. 9
    Factorise x2 − 2x − 15 (trinomial, c −)
    (2)
  10. 10
    Factorise 2x2 + 7x + 6 (leading coefficient)
    (2)
  11. 11
    Factorise 3x2 − 10x + 8 (leading coefficient)
    (2)
  12. 12
    Factorise ax + ay + bx + by (grouping)
    (2)
  13. 13
    Factorise x3 + 4x2 + 2x + 8 (grouping)
    (2)
  14. 14
    Factorise 4x2 − 100 (mixed)
    (2)
  15. 15
    Factorise 2x2 − 2x − 24 (mixed)
    (2)
TOTAL: 30 marks
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