Week 6 - Chapter 3

Section 1

Section 2

Section 3

Section 4

Section 5

Section 6

Section 1 :

Read:

Pages 240-241

Note: The terminology is important so you understand the future exercises. There are no problems in this section.

View:

• Identify polynomial functions
• Graph a quadratic function
• Write the equation of a parabola
• Solve minimum and maximum problems

Do Exercises:

There are no problems in this section.

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Section 2 :

Read:

Pages 251-259

Note: The degree of the polynomial determines how many roots it will have. If the degree is n, the equation has n real roots or the number of real roots decreases by two. Example: has 5 roots; of these 5, 3 or 1 are real.

View:

• Graph polynomial functions
• Relate x-intercepts, roots, and solutions
• Determine right-hand and left-hand behavior of functions
• Find the zeros of a polynomial equation
• Find a polynomial with given zeros
• Use the Intermediate Value Theorem to help locate zeros of polynomial functions

Do Exercises:

Page 260, # 25-57

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Section 3 :

Read:

Pages 264-274 Omit Descartes Rule of Signs and the Upper and Lower Bound Rule.

View:

• Divide polynomials using long division
• Apply synthetic division
• Apply the Factor Theorem
• Use synthetic division to factor polynomials
• Evaluate a polynomial using synthetic division
• Apply the Rational Zeros Theorem
• Apply the Upper- and Lower-Bound Theorem
• Apply Descartes Rule of Signs

Do Exercises:

Page 275, #1-21, 31, 35-37, 53, 55

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Section 4 :

Read:

Pages 279-283

View:

• Apply the Factorization Theorem
• Apply the Fundamental Theorem of Algebra
• Find conjugate pairs of complex zeros

Do Exercises:

Page 284, #5-23, 35-39, 45-49

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Section 5 :

Read:

Pages 286-290

View:

• Determine asymptotes of rational equations
• Application problems- graphing rational equations

Do Exercises:

Page 292, #1-17, 31, 33

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