1. Warm – up #2 1. 𝑥+3 𝑥 2 −9 ∙ 𝑥 2 +2𝑥−15 𝑥 2 −2𝑥+1
1. 𝑥+3 𝑥 2 −9 ∙ 𝑥 2 +2𝑥−15 𝑥 2 −2𝑥+1
= 𝑥+3 (𝑥+3)(𝑥−3) ∙ (𝑥+5)(𝑥−3) (𝑥−1)(𝑥−1)
= 𝑥+5 (𝑥−1) 2

2. Homework Log Fri 2/26 Lesson 8 – 4 Learning Objective:
To multiply rational expressions
Hw: Pg.531#20-25,32-35,
36a

3. 2/26/16 Lesson 8 – 4 Day 2 Dividing Rational Expressions
Algebra II

4. Learning Objective
To divide rational expressions

5. Dividing Rational Expressions
Step 1: Multiply by Reciprocal Step 2: Factor Step 3: Simplify 𝑡𝑜𝑝 𝑏𝑜𝑡𝑡𝑜𝑚 Step 4: Leave answers factored ÷ 5 6
= 4 3 ∙ 6 5 2
= 8 5

6. Dividing Rational Expressions
2. 2−𝑥 𝑥 2 +2𝑥+1 ÷ 𝑥 2 +3𝑥−10 𝑥 2 −1
= 2−𝑥 𝑥 2 +2𝑥+1 ∙ 𝑥 2 −1 𝑥 2 +3𝑥−10
= −(−2+𝑥) (𝑥+1)(𝑥+1) ∙ (𝑥+1)(𝑥−1) (𝑥+5)(𝑥−2)
= −(𝑥−1) (𝑥+1)(𝑥+5)

7. Dividing Rational Expressions
3. 𝑥 2 +5𝑥+4 𝑥 2 +𝑥−12 ÷ 1− 𝑥 2 2 𝑥 2 −6𝑥
= 𝑥 2 +5𝑥+4 𝑥 2 +𝑥−12 ∙ 2 𝑥 2 −6𝑥 1− 𝑥 2
= (𝑥+4)(𝑥+1) (𝑥+4)(𝑥−3) ∙ 2𝑥(𝑥−3) 1−𝑥 (1+𝑥)
= 2𝑥 1−𝑥

8. Ticket Out the Door Multiply
5 𝑥 2 −8𝑥−21 6 𝑥 2 +36𝑥 ÷ 35 𝑥 2 +14𝑥−49 7𝑥−7

9. Assignment: Pg.531#20-25,32-35,36a