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Warm-Up: March 4, 2013 Find the pattern

Warm-Up: March 4, 2013 Find the pattern. Homework Questions?. Pascal’s Triangle and the Binomial Theorem. Sections 11.7 and 11.8. Essential Question. How can we simplify expressions of the form ( a+b ) n ?. Pascal’s Triangle. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1

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Warm-Up: March 4, 2013 Find the pattern

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  1. Warm-Up: March 4, 2013Find the pattern

  2. Homework Questions?

  3. Pascal’s Triangleand theBinomial Theorem Sections 11.7 and 11.8

  4. Essential Question • How can we simplify expressions of the form (a+b)n?

  5. Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1

  6. Binomial Theorem • We can expand (x + y)n into n+1 terms • Fill in the blanks using the numbers from Pascal’s Triangle, row n. • Remember the first row is row 0, not row 1. • The exponents in each term add to n. • Any monomial could take the place of x or y.

  7. Example: Page 746 #41 • Expand (x-2y)4

  8. You-Try: Page 746 #43 • Expand (2x+3)4

  9. Notes • The number of terms (n+1) is always one higher than the exponent (n). • The coefficient is not just the number from Pascal’s Triangle, it’s the final number in front of the variable(s)

  10. Assignments • Page 746 #39-49 odd, 52 • Review Packet • You will have most of class tomorrow to work on this.

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