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Binomial Expansion

Authored by Jim Richardson

Mathematics

9th - 12th Grade

CCSS covered

Used 12+ times

Binomial Expansion
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the correct expansion of

(1 - x)5

1 − 5x + 10x2 − 10x3 + 5x4 − x5

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

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

1 − 5x + 10x2 + 10x3 + 5x4 − x5

Tags

CCSS.HSA.APR.C.5

2.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Select the correct expansion of

(1 + 4x)3

1 + 12x + 12x2 + 4x3

1 + 12x + 48x2 + 64x3

1 + 3x + 3x2 + x3

1 + 4x + 16x2 + 64x3

Tags

CCSS.HSA.APR.C.5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the fourth term of the expansion (5+3y)5.

2025y4
750y3
75y4
6750y3

Tags

CCSS.HSA.APR.C.5

4.

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

5.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Expand the expression.
(2x+5)4

2x4 + 40x3 + 300x2 + 1000x +625
16x4 + 160x3 +600x2 +1000x + 625
16x4 + 1000x3 + 600x2 + 160x +625

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Find the 4th term in the expansion of (4x-3)5.

5760
-4320x2
5760x3
-4320

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Which row of Pascal's Triangle would you use to expand (x+y)3?

1
1  1
1  2  1
1  3  3  1

Tags

CCSS.HSA.APR.C.5

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