Podcast
Questions and Answers
What is the Binomial Theorem used to expand?
What is the Binomial Theorem used to expand?
- (𝑎 + 𝑏)𝑛 when n is a negative integer
- (𝑎 + 𝑏)𝑛 when n is a rational integer
- (𝑎 + 𝑏)𝑛 when n is a prime number
- (𝑎 + 𝑏)𝑛 when n is a positive integer (correct)
According to the binomial theorem, what is the expansion of (𝑎 + 𝑏)𝑛?
According to the binomial theorem, what is the expansion of (𝑎 + 𝑏)𝑛?
- $rac{n}{2} 𝐶𝑟 𝑏 𝑟 𝑎𝑛−𝑟$
- $𝑎^n + 𝑏^n$
- $𝐶𝑟 𝑏 𝑟 𝑎𝑛−𝑟$ (correct)
- $𝐶𝑟 𝑏 𝑟 𝑎^n−r$
What does the sum of the exponents of a and b in each term equal in the binomial expansion?
What does the sum of the exponents of a and b in each term equal in the binomial expansion?
- $2n$
- $n-1$
- $n$ (correct)
- $n^2$
When should the infinite series be used to expand (𝑎 + 𝑏)𝑛 according to the definition?
When should the infinite series be used to expand (𝑎 + 𝑏)𝑛 according to the definition?
How many terms does the binomial expansion have according to the binomial theorem?
How many terms does the binomial expansion have according to the binomial theorem?
What is the expansion of (2𝑥 − 3𝑦)4?
What is the expansion of (2𝑥 − 3𝑦)4?
What is the general term in the expansion of (𝑎 + 𝑏)^n, where 𝒓 = 0, 1, 2, … , 𝒏?
What is the general term in the expansion of (𝑎 + 𝑏)^n, where 𝒓 = 0, 1, 2, … , 𝒏?
Find the fourth term in the expansion of (𝑥 − 1)^9.
Find the fourth term in the expansion of (𝑥 − 1)^9.
If n = 4, what are the orders of the middle terms in the expansion of (3𝑥 + 7𝑦)^8?
If n = 4, what are the orders of the middle terms in the expansion of (3𝑥 + 7𝑦)^8?
Is there a term that does not contain 𝒙 (a constant term or a term free of 𝒙) in the expansion of (3𝑥 − 𝟐)^8?
Is there a term that does not contain 𝒙 (a constant term or a term free of 𝒙) in the expansion of (3𝑥 − 𝟐)^8?
Flashcards are hidden until you start studying
