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Multiply a binomial by a trinomial

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.A.1 · England: A-level Pure Mathematics

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Date

Score/ 16

  1. Question 1

    Without expanding fully, find the coefficient of x in (x² + 5x + 4)(x² − 4x + 4).

    Answer

  2. Question 2

    Expand and simplify: (2x − 5)(x² + 3x − 2)

    Answer

  3. Question 3

    Expand and simplify: (x − 6)(x² + 3x − 9)

    Answer

  4. Question 4

    Without expanding fully, find the coefficient of x in (x² + 5x + 4)(x² + 3x + 6).

    Answer

  5. Question 5

    Expand and simplify: (2x − 1)(x² − 4x − 6)

    Answer

  6. Question 6

    Expand and simplify: (x − 2)(x² − 5x − 3)

    Answer

  7. Question 7

    Without expanding fully, find the coefficient of x in (x² + 4x − 3)(x² + x + 4).

    Answer

  8. Question 8

    Expand and simplify: (2x − 2)(x² − 2x − 4)

    Answer

  9. Question 9

    Expand and simplify: (x − 4)(x² + 3x − 5)

    Answer

  10. Question 10

    Without expanding fully, find the coefficient of x in (x² − x − 6)(x² − x + 1).

    Answer

  11. Question 11

    Expand and simplify: (2x − 1)(x² + 4x − 5)

    Answer

  12. Question 12

    Expand and simplify: (x − 3)(x² − 5x + 1)

    Answer

  13. Question 13

    Without expanding fully, find the coefficient of x in (x² − 4x − 6)(x² + 2x + 2).

    Answer

  14. Question 14

    Expand and simplify: (3x − 3)(x² − x − 1)

    Answer

  15. Question 15

    Expand and simplify: (x + 2)(x² + 5)

    Answer

  16. Question 16

    Without expanding fully, find the coefficient of x in (x² − 3x + 5)(x² + 5x − 5).

    Answer

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  1. 4
  2. 2x^3+x^2-19x+10
  3. x^3-3x^2-27x+54
  4. 42
  5. 2x^3-9x^2-8x+6
  6. x^3-7x^2+7x+6
  7. 13
  8. 2x^3-6x^2-4x+8
  9. x^3-x^2-17x+20
  10. 5
  11. 2x^3+7x^2-14x+5
  12. x^3-8x^2+16x-3
  13. -20
  14. 3x^3-6x^2+3
  15. x^3+2x^2+5x+10
  16. 40