Quiz about 9.2 The Binomial Theorem

Question 1

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Accepted Answer

16x⁴+ 160x³ +600x² +1000x + 625

Answer

2x⁴ + 40x³+ 300x² + 1000x +625

Answer

16x⁴ + 1000x³ + 600x²+ 160x +625

Question 2

Find the coefficient of the x³ term in (x-3)¹⁰

Accepted Answer

262440

Answer

3240x3

Answer

3240

Answer

262440x3

Question 3

Find the coefficient of the x³ in (2x+1)¹²

Accepted Answer

1760

Answer

112640

Answer

440

Answer

440x3

Question 4

Find the coefficient of the x² term in (2x-3)⁹

Accepted Answer

-314928

Answer

41472x2

Answer

41472

Answer

-314928x2

Question 5

Find the coefficient of the x⁹term in (3x-1)¹²

Accepted Answer

-4330260

Answer

-5940x9

Answer

-4330260x⁹

Answer

-5940

Question 6

Find the coefficient of the x⁵ term in (5x+1)¹¹.

Accepted Answer

1443750

Answer

1443750x⁵

Answer

7218750x⁵

Answer

7218750

Question 7

Find the 3rd term in the expansion of (x-3)⁷

Accepted Answer

189x5

Answer

-5103x2

Answer

189

Answer

-5103

Question 8

Find the 6th term in the expansion of (3x+2)⁸

Accepted Answer

48384x3

Answer

108864x5

Answer

108864x3

Answer

48384x5

Question 9

Find the 4th term in the expansion of (4x-3)⁵.

Accepted Answer

-4320x2

Answer

5760

Answer

5760x3

Answer

-4320

Question 10

Find the 9th term in (2x-5)¹¹.

Accepted Answer

515625000x³

Answer

5280000x⁸

Answer

525625000

Answer

5280000

Question 11

Find the 12th term in the expansion of (x-5)¹³.

Accepted Answer

-3808593750x²

Answer

-48828125x⁹

Answer

-3808593750

Answer

-48828125

Question 12

What is row 5 of Pascal's Triangle?

Accepted Answer

1, 5, 10, 10, 5, 1

Answer

1, 2, 1

Answer

1, 3, 3, 1

Answer

1, 4, 9, 4, 1

Question 13

What is row 7 of Pascal's Triangle?

Accepted Answer

1, 7, 21, 35, 35, 21, 7, 1

Answer

1, 5, 10, 5, 1

Answer

1, 5, 10, 10, 5, 1

Answer

1, 7, 21, 35, 21, 7, 1

Question 14

Expand
(b - 2)³

Accepted Answer

b³ - 6b² + 12b - 8

Answer

b³ - 2b² + 4b - 8

Answer

5b³ - 20b² + 40b - 40

Answer

4b³ - 12b² + 16b - 8

Question 15

Find the 2nd term in the expansion of
(2b + 1)³

Accepted Answer

12b2

Answer

6b

Answer

8b3

Answer

4b2

Question 16

Expand $$\left(2x+4y\right)^3$$

Accepted Answer

$$8x^3+48x^2y+96xy^2+64y^3$$

Answer

$$40x^3+160x^2y+320xy^2+320y^3$$

Answer

$$32x^3+48x^2y+96xy^2+64y^3$$

Answer

$$8x^3+16x^2y+32xy^2+64y^3$$

Question 17

Choose the right Pascal's triangle

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 18

How many rows in The Pascal's triangle?

Accepted Answer

Infinite

Answer

7

Answer

8

Answer

100

Question 19

Find the coefficient of the term containing $$u^2$$ in the expansion of $$\left(u-3\right)^5$$

Accepted Answer

$$-270$$

Answer

$$90$$

Answer

$$-27$$

Answer

$$405$$

Question 20

Evaluate

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 21