Binomial Expansion .9

Question 1

a binomial expression

Answer 1

one which has two terms

Question 2

How can the binomial coefficients be evaluated

Answer 2

Using the ‘C’ button on your calculator
nCr

Question 3

Binomial expansion equation

Answer 3

(a+b)^n= nC0 a^n b^0 + nC1 a^n-1 b^1 + nC2 a^n-2 b^2 +…+ nCn a^0 b^n

Question 4

The binomial theorem

Answer 4

(a+b)^n= a^n + (n 1) a^n-1 b^1+ (n 2) a^n-2 b^2+ … + (n r) a^n-r b^r+ … + b^n

Question 5

the factorial function n!

Answer 5

n!= n x (n-1) x (n-2) x … x 3 x 2 x 1

Question 6

the formula for the binomial coefficients (nCr)

Answer 6

nCr= n! / r!(n-r)!

Question 7

nC0

Answer 7

=1

Question 8

nC1

Answer 8

n

Question 9

nC2

Answer 9

n(n-1) / 2

Question 10

nCr can also be written as

Answer 10

(n r)

Question 11

the constant term in a binomial expansion

Answer 11

is when x^0