Learn how to find the second term by expanding a binomial

Learn how to find the second term by expanding a binomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to multiply expressions, focusing on the expression (3X + 1)^4. It covers the use of exponents, specifically how X is raised to the fourth power, and the application of Pascal's triangle to determine coefficients. The tutorial provides a step-by-step guide to calculating these coefficients and offers cautionary advice to avoid common mistakes. The instructor emphasizes understanding the multiplication process and the importance of careful calculation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression being multiplied in the video?

(3X + 1) raised to the third power

(3X + 1) raised to the fourth power

(3X + 1) raised to the fifth power

(3X + 1) raised to the second power

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times is the term 3X multiplied by itself in the first term of the expansion?

Two times

Three times

Four times

Five times

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power of 3X in the first term of the polynomial expansion?

3X to the fourth power

3X to the third power

3X to the fifth power

3X to the second power

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Arithmetic Progression

Pascal's Triangle

Binomial Theorem

Fibonacci Sequence

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 3X cubed?

36

27

18

9