Quiz about 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

Expand

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 3

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 4

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 5

Question 5.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

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

Accepted Answer

-262440

Answer

3240x3

Answer

3240

Answer

-262440x3

Question 7

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

Accepted Answer

-96

Answer

4

Answer

-24

Answer

216

Question 8

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

Accepted Answer

262440

Answer

3240x3

Answer

3240

Answer

262440x3

Question 9

What is the third term in the expansion of (x + 4)⁵?

Accepted Answer

160 x3

Answer

640 x2

Answer

4 x5

Answer

64 x3

Question 10

Find the term that does not contain x in the expansion of $$\left(8x^2+\frac{1}{2x}\right)^9$$

Accepted Answer

32768

Answer

1024

Answer

1080

Answer

16777216

Question 11

Use the binomial theorem to expand $$\left(4-2z\right)^3$$

Accepted Answer

$$64-96z+48z^2-8z^3$$

Answer

$$64-96z+48z^2+8z^3$$

Answer

$$64+96z+48z^2+8z^3$$

Answer

$$64-64z+144z^2-8z^3$$

Question 12

What is the Binomial expansion of (x + 1)⁵ ?

Accepted Answer

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

Answer

x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

Answer

x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

Answer

x5 + 1

Question 13

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 14

Expand (d-5)⁵

Accepted Answer

d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

Answer

d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

Answer

d⁴- 20d³+ 150d²- 750d + 3125

Answer

d⁴+ 20d³+ 150d²+ 750d + 3125

Question 15

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

Accepted Answer

256

Answer

257

Answer

n4

Answer

259

Question 16

Select the coefficients of the 5th Row in Pascal's Triangle

Accepted Answer

1;5;10;10;5;1

Answer

1;3;3;1

Answer

1;4;6;4;1

Answer

1;6;15;20;15;6;1

Question 17

What would be the 2nd term of the expansion of (y+4)⁴?

Accepted Answer

256y

Answer

253y

Answer

64y

Answer

96y2

Question 18

Use the Binomial Theorem to expand $$(x + 2)^3$$ .

Accepted Answer

$$x^3 + 6x^2 + 12x + 8$$

Answer

$$x^3 + 3x^2 + 6x + 8$$

Answer

$$x^3 + 6x^2 + 6x + 8$$

Answer

$$x^3 + 3x^2 + 3x + 8$$

Question 19

Determine the number of terms in the expansion of $$(x + y)^{10}$$ .

Accepted Answer

11

Answer

10

Answer

12

Answer

13

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