How to find the third term of the binomial expansion

How to find the third term of the binomial expansion

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of binomial expansion, focusing on the first, second, and third terms. It highlights the importance of raising the first term to the highest power and introduces Pascal's triangle for multiplication. The tutorial concludes with simplifying the expression and understanding the results.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the highest power to which the first term is raised in this polynomial expansion?

Four

Five

Six

Three

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the process of determining the second term, what is the initial power of the second term?

Zero

One

Two

Three

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical tool is used to find the coefficients in the expansion?

Fibonacci Sequence

Pascal's Triangle

Geometric Series

Arithmetic Series

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified expression for the third term in the expansion?

20X^3

40X^3

60X^3

80X^3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 2 raised to the third power?

6

4

10

8