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Factorise four-term expressions by grouping

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2 · England: GCSE Higher Algebra

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  1. Question 1

    Factorise: xy + 5x + 1y + 5

    • A. (x + 1)(y − 5)
    • B. (x + 5)(y + 1)
    • C. (x + 1)(y + 5)
    • D. (x − 1)(y − 5)

  2. Question 2

    Factorise by grouping: x³ − 4x² − 2x + 8

    • A. (x − 4)(x − 2)
    • B. (x² − 2)(x − 4)
    • C. (x² − 4)(x − 2)
    • D. (x² + 2)(x + 4)

  3. Question 3

    Factorise by grouping: 5x² + 10x − 7x − 14

    • A. (5x − 7)(x + 2)
    • B. (x − 7)(x + 2)
    • C. (5x + 2)(x − 7)
    • D. (5x − 7)(x − 2)

  4. Question 4

    Factorise: xy − 4x − 3y + 12

    • A. (x + 3)(y + 4)
    • B. (x − 3)(y − 4)
    • C. (x − 4)(y − 3)
    • D. (x − 3)(y + 4)

  5. Question 5

    Factorise by grouping: x³ + 3x² − 5x − 15

    • A. (x² − 5)(x + 3)
    • B. (x² + 3)(x − 5)
    • C. (x² − 5)(x − 3)
    • D. (x + 3)(x − 5)

  6. Question 6

    Factorise by grouping: 2x² + 6x + 5x + 15

    • A. (2x + 3)(x + 5)
    • B. (x + 5)(x + 3)
    • C. (2x + 5)(x + 3)
    • D. (2x + 15)(x + 1)

  7. Question 7

    Factorise: xy + 6x + 4y + 24

    • A. (x + 4)(y − 6)
    • B. (x + 6)(y + 4)
    • C. (x − 4)(y − 6)
    • D. (x + 4)(y + 6)

  8. Question 8

    Factorise by grouping: x³ − x² − 5x + 5

    • A. (x − 1)(x − 5)
    • B. (x² − 1)(x − 5)
    • C. (x² − 5)(x − 1)
    • D. (x² − 5)(x + 1)

  9. Question 9

    Factorise by grouping: 2x² − 2x + 5x − 5

    • A. (2x + 5)(x − 1)
    • B. (x + 5)(x − 1)
    • C. (2x − 1)(x + 5)
    • D. (2x + 5)(x + 1)

  10. Question 10

    Factorise: xy + 1x − 6y − 6

    • A. (x + 1)(y − 6)
    • B. (x + 6)(y − 1)
    • C. (x − 6)(y + 1)
    • D. (x − 6)(y − 1)

  11. Question 11

    Factorise by grouping: x³ − 2x² − 2x + 4

    • A. (x² − 2)(x − 2)
    • B. (x² − 2)(x + 2)
    • C. (x − 2)(x − 2)
    • D. (x² + 2)(x + 2)

  12. Question 12

    Factorise by grouping: 2x² + 6x + 5x + 15

    • A. (x + 5)(x + 3)
    • B. (2x + 5)(x + 3)
    • C. (2x + 15)(x + 1)
    • D. (2x + 3)(x + 5)

  13. Question 13

    Factorise: xy − 2x − 2y + 4

    • A. (x + 2)(y + 2)
    • B. (x − 2)(y − 2)
    • C. (x − 2)(y + 2)

  14. Question 14

    Factorise by grouping: x³ + 5x² − 3x − 15

    • A. (x² + 5)(x − 3)
    • B. (x² − 3)(x + 5)
    • C. (x + 5)(x − 3)
    • D. (x² + 3)(x − 5)

  15. Question 15

    Factorise by grouping: 2x² + 6x + 5x + 15

    • A. (x + 5)(x + 3)
    • B. (2x + 15)(x + 1)
    • C. (2x + 5)(x + 3)
    • D. (2x + 3)(x + 5)

  16. Question 16

    Factorise: xy + 6x + 2y + 12

    • A. (x − 2)(y − 6)
    • B. (x + 2)(y − 6)
    • C. (x + 2)(y + 6)
    • D. (x + 6)(y + 2)

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  1. (x + 1)(y + 5)
  2. (x² − 2)(x − 4)
  3. (5x − 7)(x + 2)
  4. (x − 3)(y − 4)
  5. (x² − 5)(x + 3)
  6. (2x + 5)(x + 3)
  7. (x + 4)(y + 6)
  8. (x² − 5)(x − 1)
  9. (2x + 5)(x − 1)
  10. (x − 6)(y + 1)
  11. (x² − 2)(x − 2)
  12. (2x + 5)(x + 3)
  13. (x − 2)(y − 2)
  14. (x² − 3)(x + 5)
  15. (2x + 5)(x + 3)
  16. (x + 2)(y + 6)