#8 Binomial Expansion

What mathematical arrangement can be used to expand binomials?

Pascals triangle

How is Pascal’s triangle formed?

Each term is the sum of the terms immediately above it

What row of pascal’s triangle is used to expand the expression (a+b)^n?

(n+1)

What notation is used for a factorial?

!

When is factorial notation useful?

When expanding binomials with larger indices

State the equation for nCr.

n! / r!(n-r)!

What is a binomial expression?

An expression with 2 terms

State the binomial expansion formula.

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

If the value of x < 1, what happens to x^n as n gets larger?

It decreases

How can the binomial estimation be used to estimate the value for a function?

Substitute in the value of x that makes the bracket equal to the given value