1. Warm – up #6 1 3 –2 – 21 15 31– 20 2 34 – 13 3 37 0 15 – 1 3–5–16 – 23– 8– 5 – 3 3– 1112 –21 3 is upper bound – 3 is lower bound Stop when neg. Stop when not alternating

2. Homework Log Mon 1/11 Lesson 5 – 4 Learning Objective: To apply various theorems to find all roots Hw: #508 Pg. 303 #21 – 31 odd, 33, 37, 41

3. 1/11/16 Lesson 5 – 4 Finding All Zeros Day 2 Advanced Math/Trig

4. Learning Objective To apply various theorems to find all roots of polynomials

5. Find all Zeros Descartes: (+) 2 or 0 Descartes: (–) 1 –1 1 1 –1 2 1 –2 0 1–1 3 10 Since we know there’s one neg. real, try neg. first

6. Find all Zeros Descartes: (+) 1 Descartes: (–) 3 or 1 Since we know there’s one pos. real, try pos. first 1 1 1 – 2 – 6 – 4 1 2 2 13 0– 6 42 – 1 –10 0 1220

7. Find all Zeros

8. Find all Rational Zeros Descartes: (+) 1 Descartes: (–) 3 or 1 1 1 1 2 4 – 8 1 – 1 2 11 – 2 1 0 4 0 480 35 There’s only 1 (+) real Lower Bound Rat. Zeros: 1, –2

9. Find all Rational Zeros Descartes: (+) 1 Descartes: (–) 1 Rat. Zeros: NONE 1 1 0 1 1 – 2 112 1 I.V.T. 3 Upper Bound – 11 2 – 21 5 16– 9 I.V.T. Lower Bound

10. Ticket Out the Door

11. Homework #508 Pg. 303 #21 – 31 odd, 33, 37, 41