Learn how to find the third term of binomial expansion using using pascals triangle

Learn how to find the third term of binomial expansion using using pascals triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to find the third term in a sequence involving exponents. It begins with an introduction to the concept of raising 3X to the 8th power and then details the process of finding the third term by using descending and ascending orders. The tutorial also covers the use of Pascal's triangle to determine coefficients and concludes with calculating the final answer using a calculator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power to which the first term is raised in the given polynomial expression?

7th power

9th power

6th power

8th power

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the process of finding the third term, what happens to the power of the first term?

It increases

It remains constant

It doubles

It decreases

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the number one considered irrelevant in the calculation of the second term?

It does not affect the outcome

It simplifies the calculation

It is a placeholder

It changes the result

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical tool is used to determine the coefficients in polynomial expansions?

Geometric Series

Fibonacci Sequence

Arithmetic Progression

Pascal's Triangle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coefficient of the third term in the polynomial expansion as determined by Pascal's Triangle?

35

28

42

21