Exam Review Determine the coefficient of the third term of a binomial expansion

The video tutorial explains the importance of Pascal's Triangle in binomial expansion. It covers how to add rows in Pascal's Triangle and use them to determine coefficients in binomial expansion. The tutorial also demonstrates how to calculate specific terms in a binomial expansion, emphasizing the order of terms and coefficients. The final part involves a detailed calculation to find a specific term, concluding with the correct answer.

What is the significance of the second term in each row of Pascal's Triangle?

• It is always equal to zero.

• It is the highest power in the expansion.

• It represents the sum of all previous terms.

• It indicates the row number for the power in binomial expansion.

In binomial expansion, how does the power of the first term change?

• It is always zero.

• It decreases from the highest power.

• It remains constant.

• It increases from zero.

What is the starting power of the second term in a binomial expansion?

• Zero

• The same as the first term

• One

• The highest power

How do you calculate the third term in a binomial expansion?

• By using the coefficients and powers from Pascal's Triangle.

• By adding all previous terms.

• By multiplying the first term by the second term.

• By using only the highest power.

What is the result of multiplying 2X cubed in the context of the binomial expansion?

• 8X^3

• 6X^3

• 4X^3

• 2X^3