Saturday, May 17, 2014

Review: 9.5-Binomial Theorem

Binomial: a polynomial that has two terms; (x+y)n

Expansion Formulas: 
(x+y)0=1
(x+y)1=x+y
(x+y)2=x2+2xy+y2
(x+y)3=x3+3x2y+3xy2+y3
(x+y)4=x4+4x3y+6x2y

Alternate Method: Pascal's Triangle

  • Alternately, you can use Pascal's triangle to expand any given polynomial
  • Using pascal’s triangle using the number of the exponent you can use the row that corresponds to that number to find the answer and put declining powers on the first term and increasing powers on the second term. 
  • This is easier to explain using an example: 


Math Joke of the Day: 

A mathematical children's book

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