Section 12.5 The Binomial Theorem

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Presentation transcript:

Section 12.5 The Binomial Theorem Copyright © 2013 Pearson Education, Inc. All rights reserved

Use the Binomial Theorem. Objectives Evaluate Use the Binomial Theorem. Copyright © 2013 Pearson Education, Inc. All rights reserved

Notice that the expansion of (x+a)n begins with xn and ends with an Notice that the expansion of (x+a)n begins with xn and ends with an. From left to right, the powers of x are decreasing by one while the powers of a are increasing by one. The degree of each monomial in the expansion is n. There are n+1 terms. Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Four Useful Formulas Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Homework 12.5 #5, 9, 11, 17-27 odd Copyright © 2013 Pearson Education, Inc. All rights reserved

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