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The Binomial Theorem

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

The Binomial Theorem
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Binomial expansion of (3 + 2x)^5.

(3+2x)^5 + (3 - 2x)^5

(3+2x)^10 + (3 - 2x)^10

(3-2x)^5 + (3 - 2x)^5

(3+2x)^5 + (3 + 2x)^5

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the constant term in the expansion (2w3−5w2)5\left(2w^3-\frac{5}{w^2}\right)^5 .

32

-400

2000

-5000

Tags

CCSS.HSA.APR.C.5

3.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Expand: (2x - 3)2

2x2 - 12x - 9

4x2 - 9

4x2 + 9

4x2 - 12x + 9

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The coefficient of a3b in the expansion of (4b+3a)4

108

432

768

81

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(a+b)^3

a^3 - b^3+3ab(a-b)

a^3 + b^3+3ab(a-b)

a^3 - b^3-3ab(a-b)

a^3 + b^3+3ab(a+b)

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(x − y) 3

x3 − 3x2 y + 3xy2 − y3

16m 4 − 32m 3 + 24m 2 − 8m + 1 

Tags

CCSS.HSA.APR.C.5

7.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Find the coefficient of x3x^3  in the expansion of (2x2−3x)6\left(2x^2-\frac{3}{x}\right)^6  

(a)  

Tags

CCSS.HSA.APR.C.5

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