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

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

3. 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

4. Copyright © 2013 Pearson Education, Inc. All rights reserved

5. Copyright © 2013 Pearson Education, Inc. All rights reserved

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

7. Copyright © 2013 Pearson Education, Inc. All rights reserved

8. Copyright © 2013 Pearson Education, Inc. All rights reserved

9. Copyright © 2013 Pearson Education, Inc. All rights reserved

10. Copyright © 2013 Pearson Education, Inc. All rights reserved

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