Algebra II HonorsDay 16 Goals for Today Show

Algebra II Honors—Day 16

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

Warmup • Simplify each expression:

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

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

Polynomial Identities • Difference of squares • Perfect square trinomials • Sum of cubes • Difference of cubes

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

Binomial Expansions • Binomial expansions—raising a binomial to increasing powers

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

Binomial Expansion • Did you get ? ? ?

Pascal’s Triangle 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 These are the coefficients of the terms for each expansion.

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