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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

    Expand and simplify: (x + 4)(x² + x − 9)

    Answer

  2. Question 2

    Expand and simplify: (3x + 1)(x² − 3x + 6)

    Answer

  3. Question 3

    Without expanding fully, find the coefficient of x in (x² − 5x + 6)(x² + x + 2).

    Answer

  4. Question 4

    Expand and simplify: (x − 5)(x² + 2x + 9)

    Answer

  5. Question 5

    Expand and simplify: (2x + 1)(x² + x + 3)

    Answer

  6. Question 6

    Without expanding fully, find the coefficient of x in (x² + 3x + 6)(x² + 5x + 2).

    Answer

  7. Question 7

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

    Answer

  8. Question 8

    Expand and simplify: (2x + 6)(x² − 5x + 3)

    Answer

  9. Question 9

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

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    Expand and simplify: (2x − 2)(x² + 3x + 6)

    Answer

  12. Question 12

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

    Answer

  13. Question 13

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

    Answer

  14. Question 14

    Expand and simplify: (4x − 3)(x² + 4x − 1)

    Answer

  15. Question 15

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

    Answer

  16. Question 16

    Expand and simplify: (x − 3)(x² + 5x + 6)

    Answer

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Answer key: Multiply a binomial by a trinomial

  1. 1. x^3+5x^2-5x-36

  2. 2. 3x^3-8x^2+15x+6

  3. 3. -4

  4. 4. x^3-3x^2-x-45

  5. 5. 2x^3+3x^2+7x+3

  6. 6. 36

  7. 7. x^3-3x^2+6x-18

  8. 8. 2x^3-4x^2-24x+18

  9. 9. 0

  10. 10. x^3-5x^2-2x+6

  11. 11. 2x^3+4x^2+6x-12

  12. 12. 36

  13. 13. x^3-x^2-25x-20

  14. 14. 4x^3+13x^2-16x+3

  15. 15. -45

  16. 16. x^3+2x^2-9x-18