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Binomial Theorem - Problem 7

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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 and/or exponent of the first term, as well, and raise those to the new powers, as well. The second term starts with exponent zero and then the exponent increases by one each time. Again, make sure the coefficient and/or power on the second term gets raised to the new power, too. Simplify the products in each term to get your expanded polynomial.

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