Elective Mathematics

Question 1

1The sum of the binomial coefficients in (1 + x)ⁿ is

Medium

A. n! B. n + 1 C. n² D. 2ⁿ

Question 2

2Find the sum of the binomial coefficients in the expansion of (1 + x)⁶.

Medium

A. 36 B. 64 C. 720 D. 7

Question 3

3Find the coefficient of x¹ in the expansion of (1 + 4x)⁸.

Medium

A. 128 B. 33 C. 32 D. 8

Question 4

4Find the coefficient of x² in the expansion of (1 + x)⁷.

Easy

A. 28 B. 35 C. 14 D. 21

Question 5

5The coefficient of x² in (1 + x)⁹ is ___

Easy

Your answer (fill in the blank)

Question 6

6The coefficient of x¹ in (1 + x)⁹ is ___

Easy

Your answer (fill in the blank)

Question 7

7The middle term of (1 + x)⁴ is 6x².

Easy

A. True B. False

Question 8

8(a − b)ⁿ has all positive coefficients.

Easy

A. True B. False

Question 9

9Find the coefficient of x³ in the expansion of (1 + x)⁵.

Easy

A. 11 B. 10 C. 15 D. 5

Question 10

10The coefficients of (1 + x)ⁿ are symmetrical.

Easy

A. True B. False