The Binomial Expansion

Cards (5)

  • If brackets have a negative term:
    The expansion will have alternating positive then negative terms
  • A square root gives two values; positive and negative
  • To find the terms of a binomial expansion on calculator; use the formula nCr
  • E.g ( 1 + x )^6
    1st step:
    1^6 + (10 1) 1^5 x + (10 2) 1^4 x^2 + (10 3) 1^3 x^3 + (10 4) 1^2 x^4 + (10 5) 1 x^5 + (10 6) x^6
  • Estimation with binomial expansion:
    E.g (1 - x)^n , estimation for (0.975)^n
    1st step: solve for x
    1 - x = 0.975
    2nd step: sub x in expansion
    = the value is the estimation