1. Algebra II Honors—Day 16

2. Goals for Today
Show me your homework for a homework stamp (Adding/Subtracting sheet and multiplication of polynomials)
Warmup
POP QUIZ
Essential Questions
Homework

3. Warmup
Simplify each expression:

4. 20-minute time limit You may use your notes and work with a partner
POP QUIZ
20-minute time limit
You may use your notes and work with a partner

5. Essential Questions
How can I use polynomial identities to describe numerical relationships?
How do I expand and find the nth term of a binomial expression?

6. Polynomial Identities
Difference of squares
Perfect square trinomials
Sum of cubes
Difference of cubes

7. Recognition
IDENTIFY the following products as polynomial identities and state the result without multiplying them out.
Difference of cubes
Difference of squares
Sum of cubes
Perfect square trinomial

8. Binomial Expansions
Binomial expansions—raising a binomial to increasing powers

9. PREDICT the next expansion from this pattern
Binomial Expansions
Look at the answers only. What do you notice?
PREDICT the next expansion from this pattern

10. Binomial Expansion
Did you get
???

11. These are the coefficients of the terms for each expansion.
Pascal’s Triangle
These are the coefficients of the terms for each expansion.
Expansion for (a+b)n
n=0 n=1 n=2 n=3 n=4 n=5 n=6 n=7 n=8 n=9 n=10

12. Homework
Use Pascal’s Triangle to find the binomial expansion for the following:
Simplify by using the identities we discussed: