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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
---|---|---|---|---|---|

12.3 | Binomial Expansion and Coefficients |

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

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

**Correct Answer: C**

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

- 5
- 8
- 40
- 56

**Correct Answer: D**

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

- 18
- 19
- 36
- 38

**Correct Answer: B**

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

- 15
- 20
- 62
- 64

**Correct Answer: D**

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

- 60
- 99
- 792
- 7920

**Correct Answer: C**

**6.** . What is

*5**/**9**40**/**36**10**/**9*- 1

**Correct Answer: A**

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

- 48
- 60
- 70
- 342

**Correct Answer: C**

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

- 16x
^{4}- 32x^{3}+ 24x^{2}- 8x + 1 - x
^{4}- 4x^{3}+ 6x^{2}- 4x + 1 - 16x
^{4}+ 32x^{3}+ 24x^{2}+ 8x + 1 - x
^{4}+ 4x^{3}+ 6x^{2}+ 4x + 1

**Correct Answer: A**

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

- 32
- -3125
- -5000
- -6250

**Correct Answer: C**

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

- n = 7 and k = 4
- n = 9 and k = 6
- n = 8 and k = 3
- n = 10 and k = 5

**Correct Answer: B**

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