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  5. Warm Up 03.31.25 Binomial Expansion Bk03

Warm Up 03.31.25 Binomial expansion BK03

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Mathematics

9th - 12th Grade

Used 5+ times

Warm Up 03.31.25 Binomial expansion BK03
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11 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the expansion of (2x + 3)²?

4x² + 12x + 8

4x² + 12x + 9

4x² + 6x + 9

2x² + 6x + 9

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the expansion of (x − y)³?

x³ − 3x²y + 3xy² − y³

x³ + 3x²y + 3xy² + y³

x³ − 3x²y − 3xy² + y³

x³ + 3x²y − 3xy² − y³

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

x⁵ + 4x⁴ + 6x³ + 4x² + 1

x⁵ + 5x⁴ + 15x³ + 10x² + 5x + 2

x⁵ + 3x⁴ + 3x³ + 1

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the significance of Pascal's Triangle in binomial expansion?

It provides the coefficients for the terms in the expansion.

It calculates the roots of polynomial equations.

It determines the convergence of infinite series.

It represents the Fibonacci sequence.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How many terms are in the expansion of (1 + b)⁵?

4

5

6

7

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the relationship between the number of terms in the expansion of (a + b)ⁿ and n?

The number of terms is n.

The number of terms is n - 1.

The number of terms is n + 1.

The number of terms is 2n.

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which row of Pascal's Triangle is used to expand (x + y)³?

1 2 3 4

1 3 3 1

1 4 6 4

1 5 10 10

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