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Binomial Theorem - Problem 6 255 views

When you want to use a row from Pascal's Triangle or a series of nCr values as coefficients of a polynomial, first set up the string of coefficients followed by space to fill in your terms. The first term starts raised to the highest exponent, and then the exponent decreases by one each time with zero as the last term. Be sure to include the coefficient of your first term, and raise that to the exponent as well! The second starts with exponent zero and then the exponent increases by one each time. Again, don't forget the coefficient of the second term is getting raised to powers, too. Simplify the products in each term to get your expanded polynomial.

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