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

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

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

Learning Objective To divide rational expressions

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

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)

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

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

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