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Find a coefficient in a binomial expansion

12th grade (Year 13 in England) · 16 questions · Common Core: HSA.APR.C.5 · England: A-level Pure Mathematics

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Date

Score/ 16

  1. Question 1

    Find the coefficient of x² in (1 − 2x)⁵.

    Answer

  2. Question 2

    Find the coefficient of x in the expansion of (1 + x)⁶.

    Answer

  3. Question 3

    Find the term independent of x in (x + 1/x)⁸.

    Answer

  4. Question 4

    Find the coefficient of x in (1 − x)³.

    Answer

  5. Question 5

    Find the coefficient of x⁴ in the expansion of (1 + x)⁸.

    Answer

  6. Question 6

    Find the term independent of x in (x + 1/x)⁶.

    Answer

  7. Question 7

    Find the coefficient of x² in (1 + 2x)⁵.

    Answer

  8. Question 8

    Find the coefficient of x in the expansion of (1 + x)³.

    Answer

  9. Question 9

    Find the term independent of x in (x + 1/x)¹².

    Answer

  10. Question 10

    Find the coefficient of x² in (1 + 2x)⁴.

    Answer

  11. Question 11

    Find the coefficient of x² in the expansion of (1 + x)⁸.

    Answer

  12. Question 12

    Find the term independent of x in (x + 1/x)¹².

    Answer

  13. Question 13

    Find the coefficient of x² in (2 − 2x)⁶.

    Answer

  14. Question 14

    Find the coefficient of x⁵ in the expansion of (1 + x)⁶.

    Answer

  15. Question 15

    Find the term independent of x in (x + 1/x)⁶.

    Answer

  16. Question 16

    Find the coefficient of x in (3 + 2x)⁵.

    Answer

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Answer key: Find a coefficient in a binomial expansion

  1. 1. 40

  2. 2. 6

  3. 3. 70

  4. 4. -3

  5. 5. 70

  6. 6. 20

  7. 7. 40

  8. 8. 3

  9. 9. 924

  10. 10. 24

  11. 11. 28

  12. 12. 924

  13. 13. 960

  14. 14. 6

  15. 15. 20

  16. 16. 810