AlGeo 3 The Binomial Theorem

What is the coefficient of the x5y5-term in the binomial expansion of (2x - 3y)10?
10C5(2)5(3)5
10C5(2)5(-3)5
-10C5(2)5(-3)5
10C5(2)5(3)

B) 10C5(2)5(-3)5

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?
10C3(e7)(2f)3
10C3(e7)(f)3
10C4(e6)(2f)4
10C4(e6)(f)4

A) 10C3(e7)(2f)3

How many terms are in the binomial expansion of (3x + 5)9?
8
9
10
11

C)10

What is the coefficient of the third term in the binomial expansion of (a + b)6?
1
15
20
90

B) 15

Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?
The value of the binomial coefficient nC0 is n - 1 for all values of n.
The values of nC1 and nCn-1 are equal to 1.
The values of nC0 and nCn are equal to 1.
The value of the binomial coefficient nC1 is n - 1 for all values of n.

C) The values of nC0 and nCn are equal to 1.

What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1

B) 1, 6, 15, 20, 15, 6, 1

The following list gives the coefficients for the binomial expansion of (x + y)10. What is the value of B?

1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1
1
10
45
120

Not, B) 10

What is the binomial expansion of (x + 2)4?
x4 + 4x3 + 6x2 + 4x + 1
8x3 + 24x2 + 32x
x4 + 8x3 + 24x2 + 32x + 16
2x4 + 8x3 + 12x2 + 8x + 2

C) x4 + 8x3 + 24x2 + 32x + 16

What is the coefficient of the last term in the binomial expansion of (x + 1)9?
0
1
9
10

B) 1

How many terms are in the binomial expansion of (2x + 3)5?
4
5
6
7

Not, A) 4

The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
64x6 + 144x4 + 108x2 + 27
64x6 + 48x4 + 12x2 + 1
4x6 + 36x4 + 108x2 + 27
4x6 + 12x4 +12x2 + 1

A) 64x6 + 144x4 + 108x2 + 27

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4?
4
32
128
512

D) 512

What is the binomial expansion of (2x - 3)5?
(2x)5 - 15(2x)4 + 90(2x)3 - 270(2x)2 + 405(2x) - 243
(2x)5 + 15(2x)4 - 90(2x)3 + 270(2x)2 - 405(2x) + 243
(2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243
2(x)5 - 30(x)4 + 180(x)3 - 540(2x)2 + 810(x) - 243

Not, B) (2x)5 + 15(2x)4 - 90(2x)3 + 270(2x)2 - 405(2x) + 243

AlGeo 3 The Binomial Theorem - Subjecto.com

AlGeo 3 The Binomial Theorem

Your page rank:

Total word count: 344
Pages: 1

Calculate the Price

- -
275 words
Looking for Expert Opinion?
Let us have a look at your work and suggest how to improve it!
Get a Consultant

What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10?
10C5(2)5(3)5
10C5(2)5(-3)5
-10C5(2)5(-3)5
10C5(2)5(3)

B) 10C5(2)5(-3)5

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?
10C3(e7)(2f)3
10C3(e7)(f)3
10C4(e6)(2f)4
10C4(e6)(f)4

A) 10C3(e7)(2f)3

How many terms are in the binomial expansion of (3x + 5)9?
8
9
10
11

C)10

What is the coefficient of the third term in the binomial expansion of (a + b)6?
1
15
20
90

B) 15

Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true?
The value of the binomial coefficient nC0 is n – 1 for all values of n.
The values of nC1 and nCn-1 are equal to 1.
The values of nC0 and nCn are equal to 1.
The value of the binomial coefficient nC1 is n – 1 for all values of n.

C) The values of nC0 and nCn are equal to 1.

What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1

B) 1, 6, 15, 20, 15, 6, 1

The following list gives the coefficients for the binomial expansion of (x + y)10. What is the value of B?

1, 10, 45, 120, 210, 252, 210, B, 45, 10, 1
1
10
45
120

Not, B) 10

What is the binomial expansion of (x + 2)4?
x4 + 4×3 + 6×2 + 4x + 1
8×3 + 24×2 + 32x
x4 + 8×3 + 24×2 + 32x + 16
2×4 + 8×3 + 12×2 + 8x + 2

C) x4 + 8×3 + 24×2 + 32x + 16

What is the coefficient of the last term in the binomial expansion of (x + 1)9?
0
1
9
10

B) 1

How many terms are in the binomial expansion of (2x + 3)5?
4
5
6
7

Not, A) 4

The side length, s, of a cube is 4×2 + 3. If V = s3, what is the volume of the cube?
64×6 + 144×4 + 108×2 + 27
64×6 + 48×4 + 12×2 + 1
4×6 + 36×4 + 108×2 + 27
4×6 + 12×4 +12×2 + 1

A) 64×6 + 144×4 + 108×2 + 27

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4×3)4?
4
32
128
512

D) 512

What is the binomial expansion of (2x – 3)5?
(2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243
(2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243
(2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243
2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243

Not, B) (2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243

Share This
Flashcard

More flashcards like this

NCLEX 10000 Integumentary Disorders

When assessing a client with partial-thickness burns over 60% of the body, which finding should the nurse report immediately? a) ...

Read more

NCLEX 300-NEURO

A client with amyotrophic lateral sclerosis (ALS) tells the nurse, "Sometimes I feel so frustrated. I can’t do anything without ...

Read more

NASM Flashcards

Which of the following is the process of getting oxygen from the environment to the tissues of the body? Diffusion ...

Read more

Unfinished tasks keep piling up?

Let us complete them for you. Quickly and professionally.

Check Price

Successful message
sending