Back to the lesson and practice
ActivityPractice worksheetColor by numberAnswer mazeRiddle puzzleFlashcards
Do it🖨️ On paper✏️ On screen
New copyMake a new one

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Factorise quadratics x² + bx + c

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2, HSA.SSE.B.3.A · England: GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Factorise fully: x² − x − 30

    Answer

  2. Question 2

    Factorise: x² + 2x − 35

    • A. (x + 2)(x + 1)
    • B. (x − 5)(x + 7)
    • C. (x − 35)(x + 1)
    • D. (x + 5)(x − 7)

  3. Question 3

    Factorise fully: x² − 2x − 15

    Answer

  4. Question 4

    Factorise: x² − 9x + 18

    • A. (x + 3)(x + 6)
    • B. (x − 3)(x − 6)
    • C. (x − 3)(x + 6)
    • D. (x − 9)(x + 1)

  5. Question 5

    Factorise fully: x² − x − 42

    Answer

  6. Question 6

    Factorise: x² − 3x + 2

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

  7. Question 7

    Factorise fully: x² − 36

    Answer

  8. Question 8

    Factorise: x² + 11x + 30

    • A. (x − 6)(x − 5)
    • B. (x + 6)(x + 5)
    • C. (x + 30)(x + 1)
    • D. (x + 11)(x + 1)

  9. Question 9

    Factorise fully: x² + x − 56

    Answer

  10. Question 10

    Factorise: x² + 8x + 7

    • A. (x + 8)(x + 1)
    • B. (x + 1)(x + 7)
    • C. (x + 7)(x + 1)
    • D. (x − 1)(x − 7)

  11. Question 11

    Factorise fully: x² + 7x − 8

    Answer

  12. Question 12

    Factorise: x² − 3x − 4

    • A. (x − 4)(x − 1)
    • B. (x + 4)(x − 1)
    • C. (x − 4)(x + 1)
    • D. (x − 3)(x + 1)

  13. Question 13

    Factorise fully: x² + 3x − 40

    Answer

  14. Question 14

    Factorise: x² − x − 56

    • A. (x + 7)(x − 8)
    • B. (x + 7)(x + 8)
    • C. (x − 7)(x + 8)
    • D. (x − 56)(x + 1)

  15. Question 15

    Factorise fully: x² − 13x + 42

    Answer

  16. Question 16

    Factorise: x² + 6x − 27

    • A. (x + 9)(x − 3)
    • B. (x + 6)(x + 1)
    • C. (x − 9)(x + 3)
    • D. (x + 9)(x + 3)

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. (x+5)(x-6)
  2. (x − 5)(x + 7)
  3. (x-5)(x+3)
  4. (x − 3)(x − 6)
  5. (x-7)(x+6)
  6. (x − 2)(x − 1)
  7. (x+6)(x-6)
  8. (x + 6)(x + 5)
  9. (x-7)(x+8)
  10. (x + 1)(x + 7)
  11. (x+8)(x-1)
  12. (x − 4)(x + 1)
  13. (x-5)(x+8)
  14. (x + 7)(x − 8)
  15. (x-7)(x-6)
  16. (x + 9)(x − 3)