1. The terms C(n,0), C(n,1), ..., C(n,n) are called the coefficients. 2. These coefficients for any given n come from the corresponding row of Pascal's Triangle. Pascal's Triangle is constructed as follows: 1 for $(x+y)^0=1$ 1 1 for $(x+y)^1=x+y$ 1 2 1 for $(x+y)^2=x^2+2xy+y^2$ 1 3 3 1 for $(x+y)^3=x^3+3x^2y+3xy^2+y^3$ 1 4 6 4 1 for $(x+y)^4=x^4+4x^3y+6x^2y^2+4xy^3+y^4$ ... and so on 3. In Pascal's Triangle, a. each number in every row is equal to the sum of the two numbers immediately above it. b. the sum of all coefficients in any given row is twice the sum of coefficients in the previous row.
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