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Binomial Expansion and Coefficients

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Sequences and Series Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
12.3Binomial Expansion and Coefficients

Binomial Expansion and Coefficients Revision Questions

1. . Which of the following is a binomial expression?

  1. 3xy - 4x + 1
  2. x - 3y + 3
  3. 2x - 4
  4. 4x

Correct Answer: C

2. . What is the 5th coefficient of (a + b)8 after the expansion?

  1. 5
  2. 8
  3. 40
  4. 56

Correct Answer: D

3. . How many terms does the expanded form of the binomial expression (x + y)18 have?

  1. 18
  2. 19
  3. 36
  4. 38

Correct Answer: B

4. . What is the sum of coefficients of the binomial expression (x + y)6 after the expansion?

  1. 15
  2. 20
  3. 62
  4. 64

Correct Answer: D

5. . What is the value of C(12, 5)?

  1. 60
  2. 99
  3. 792
  4. 7920

Correct Answer: C

6. . What is

8! ∙ 5!/9! ∙ 4!
  1. 5/9
  2. 40/36
  3. 10/9
  4. 1

Correct Answer: A

7. . What is the value of the middle coefficient of the binomial expression (x + y)8?

  1. 48
  2. 60
  3. 70
  4. 342

Correct Answer: C

8. . What is the expanded form of (2x - 1)4?

  1. 16x4 - 32x3 + 24x2 - 8x + 1
  2. x4 - 4x3 + 6x2 - 4x + 1
  3. 16x4 + 32x3 + 24x2 + 8x + 1
  4. x4 + 4x3 + 6x2 + 4x + 1

Correct Answer: A

9. . What is the smallest coefficient in the expanded form of the binomial (2 - 5x)5?

  1. 32
  2. -3125
  3. -5000
  4. -6250

Correct Answer: C

10. . The C(n, k) coefficient of a binomial expression is 84. What are the valued of n and k?

  1. n = 7 and k = 4
  2. n = 9 and k = 6
  3. n = 8 and k = 3
  4. n = 10 and k = 5

Correct Answer: B

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