1. Warm-Up Factor the following: 2x 2 + 7x – 15 Product: -30 … (2)(-15) Factor Pair: -3, 10 BUILD: -3/2 10/2 Simplify: -3/2, 5/1 (2x – 3) (x + 5)

2. Simplify, Multiply, and Divide Rational Expressions Unit 9: Rational Functions TEXT: L11-4 Rational Expressions pp.476-482

3. Essential Question How does factoring help me with multiplying and dividing rational expressions?

4. Steps for Multiplying/Dividing Rational Expressions 1.Factor numerator and denominator completely. 2.Turn any division into multiplication of the reciprocal. 3.Cancel any like binomial factors that are in both the numerator and denominator. (Note: only factors can be cancelled – not added or subtracted numbers.) 4.Write your simplified answer as a single fraction. Leave in factored form.

5. Ex. 1: Simplify 1. Factor: GCF Factors Cancel One power of x cancels 2. No Division 3. Cancel factors: 4. Write as fraction:

6. Ex 2: Simplify 1.Factor numerator by grouping and denominator by difference of squares: 2. No Division 3. Cancel Factors 4. Write as fraction

7. Ex 3: Simplify 1. Factor: Build Simplify Fix GCF 2. No Division 3. Cancel Factors 4. Write as fraction

8. Ex 4: Simplify 1. Factor: Build Simplify FixGCF 2. No Division 3. Cancel Factors 4. Write as fraction Build Simplify Fix

9. Ex 5: Simplify 1. Factor: Build Simplify Fix 2. Division so Multiply by the Reciprocal 3. Cancel Factors 4. Write as fraction

10. Ex 6: Simplify 1. Factor: Build Simplify Fix GCF GCF & Diff of Squares 2. Division so Multiply by the Reciprocal 3. Cancel Factors 4. Write as fraction

11. Practice TEXT p. 480 (1, 4, 7, 9, 13, 15)

12. Ex 7: Simplify Build Simplify Fix GCFDiff of Sq Diff of Cubes 1. Factor: 2. Division so Multiply by the Reciprocal 3. Cancel Factors 4. Write as fraction

13. Complete the remainder of your worksheet.