Chapter 8 - The Binomial Expansion

Question 1

How is Pascal’s triangle formed?

Answer 1

It is formed by adding adjacent pairs of numbers to find the numbers on the next row.

Question 2

What is the row of Pascal’s triangle that gives you the correct coefficients in the expansion of

(a + b)^n ?

Answer 2

It is the (n + 1)th row.

Question 3

What is n! Equal to?

Answer 3

n x (n - 1) x (n - 2) x 
(n - 3) x ... x 1.

Question 4

What are the two equations for factorial notation?

Answer 4

n
C = (n)
r (r)

Or

  n! ———— r! (n - r)!

Question 5

What is the binomial expansion of

(a + b)^n

Like?

Answer 5

(n)(a)^n-r (b)^r

r