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Binomial Expansion

Total questions: 19

Worksheet time: 33mins

Name
Class
Date
1.

How many terms are the in the expansion of (1+b)5

a)

5

b)

6

c)

25

d)

50

e)

3

2.
Find the coefficient of the x3 term in (x-3)10
a)
3240x3
b)
3240
c)
262440x3
d)
262440
3.
Find the 4th term in the expansion of (4x-3)5.
a)
5760
b)
-4320x2
c)
5760x3
d)
-4320
4.

How many terms are the in the expansion of (1+b)5

a)

5

b)

6

c)

25

d)

50

e)

3

5.
What is the third term for the expansion (2x-5)5?
a)
2000x3
b)
500x3
c)
5000x2
d)
800x3
6.

What would be the 5th term of the expansion of (n+4)4?

a)

257

b)

256

c)

n4

d)

259

7.

What is the second term of (3xy)5\left(3x-y\right)^5  

a)

243x2y2243x^2y^2  

b)

243x4y243x^4y  

c)

243x4243x^4  

d)

81x4y81x^4y  

8.

What is the first term of (2rs)8\left(2r-s\right)^8  

a)

64r64r  

b)

64r864r^8  

c)

256r8256r^8  

d)

128r8128r^8  

9.

Consider the binomial expansion of (2y5x)6\left(2y-5x\right)^6  . How many terms are there in the expansion?

a)

6

b)

5

c)

7

d)

4

10.

Find the fourth term of the expansion (5+3y)5 by using combination

a)

2025y4

b)

750y3

c)

75y4

d)

6750y3

11.

Find the fourth term of the expansion (5+3y)5 by using combination

a)

2025y4

b)

750y3

c)

75y4

d)

6750y3

12.
Find the 2nd term in the expansion of 
(2b + 1)3
a)
12b2
b)
6b
c)
8b3
d)
4b2
13.

Select the correct expansion of

(1 + 4x)3

a)

1 + 12x + 12x2 + 4x3

b)

1 + 12x + 48x2 + 64x3

c)

1 + 3x + 3x2 + x3

d)

1 + 4x + 16x2 + 64x3

14.

Select the correct expansion of

(1 - x)5

a)

1 − 5x + 10x2 − 10x3 + 5x4 − x5

b)

1 + 5x + 10x2 + 10x3 + 5x4 + x5

c)

-1 + 5x - 10x2 + 10x3 - 5x4 + x5

d)

1 − 5x + 10x2 + 10x3 + 5x4 − x5

15.

Select the correct expansion of

(1 + x)4

a)

1 + 4x + 6x2 + 4x3 + x4

b)

x + 3x2 + 3x3 + x4

c)

1 + 5x + 10x2 + 5x3 + x4

d)

1 + 2x2 + x4

16.
Which of the following is the coefficient for the xy3 term of the expansion (3x-2y)4?
a)
4
b)
-24
c)
-96
d)
216
17.

Find the coefficient of x4 in the expansion

a)

495

b)

165

c)

6 1/9

d)

55

18.

Find the coefficient of x2 in the expansion of (1 + 4x)9

a)

576

b)

36

c)

144

d)

1344

19.

Find the coefficient of x3x^3   in the expansion of (5+3x)5.

a)

2025

b)

750

c)

75

d)

6750