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.

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Presentation transcript:

Warm – up #6 1 3 –2 – – – – 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

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

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

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

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

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

Find all Zeros

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

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

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