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Support 8-20 Binomial Theorem

Mathematics

11th Grade

7 Questions

CCSS covered

Used 2+ times

Support 8-20 Binomial Theorem
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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

1;3;3;1

1;4;6;4;1

1;5;10;10;5;1

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

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Expand
(b - 2)3

b3 - 2b2 + 4b - 8
5b3 - 20b2 + 40b - 40
b3 - 6b2 + 12b - 8
4b3 - 12b2 + 16b - 8

Tags

CCSS.HSA.APR.C.5

3.

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

257

256

n4

259

Tags

CCSS.HSA.APR.C.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What would be the 4th term of the expansion of (a+3)4?

108a

12a3

81

27a

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use the binomial theorem to expand  (42z)3\left(4-2z\right)^3  

 6496z+48z2+8z364-96z+48z^2+8z^3  

 6496z+48z28z364-96z+48z^2-8z^3  

 64+96z+48z2+8z364+96z+48z^2+8z^3  

 6464z+144z28z364-64z+144z^2-8z^3  

Tags

CCSS.HSA.APR.C.5

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