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Sigma and the Binomial Theorem

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Sigma and the Binomial Theorem
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20 questions

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1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

A _______ theorem that gives the expansion formula for (a+b)^n. (Two Words)

Tags

CCSS.HSA.APR.C.5

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

A form of notation using the symbol sigma to express a series is called_____ (Two Words)

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expand the expression using the Binomial Theorem.

(2x+5)4

2x4 + 40x3 + 300x2 + 1000x +625

16x4 + 160x3 +600x2 +1000x + 625

16x4 + 1000x3 + 600x2 + 160x +625

Tags

CCSS.HSA.APR.C.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Expand

A

B

C

D

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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

x5 + 5x4 + 15x3 + 15x2 + 5x + 1

x5 + 6x4 + 15x3 + 15x2 + 6x + 1

x5 + 1

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the binomial expansion of (−3𝑥+2𝑦)3?

9𝑥2−12𝑥𝑦+4𝑦2

−27𝑥3+54𝑥2𝑦−36𝑥𝑦2+8𝑦3

27𝑥3−54𝑥2𝑦+36𝑥𝑦2−8𝑦3

27𝑥3−18𝑥2𝑦−12𝑥𝑦2+8𝑦3

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What does this notation represent?

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