Algebra Two Name:

Chapter 8 Homework Assignment List Period:

Enduring Understandings

• Polynomial functions can be used to find dimensions of geometric objects in order to maximize volume.
• Knowledge gained from studying linear and quadratic functions can be applied to the study of polynomial functions because they share many of the same properties.

Unit Umbrella Questions

• What is the difference between an absolute maximum/minimum and a relative maximum/minimum?
• How can you determine the number of real solutions to a polynomial function by looking at its graph? Include what happens when the graph is tangent to the x-axis.
• What methods can be used to find all solutions to a polynomial function?
What two methods can you use to determine if (x – a) is a factor of a polynomial function?

Section 8-1A Page 545-546 #1-15

§ How can you determine the degree of a function from its equation?

Section 8-1B (Day 1) Page 552-553 #1-11, SKIP #8

§ Describe how you decide if a function has an absolute maximum or minimum.

Section 8-1B (Day 2) Page 553-554 #8, 16-18, 23-31 (Use the minimum/maximum on the CALC menu instead of TRACE)

§ Are the absolute maximums or minimums usually the most important values for a real-world situation? Explain.

Section 8-1C (Day 1) Page 558-559 #1-10, 22-29

§ If a polynomial function has both positive and negative y-values, can we say that it must have at least one zero? Explain.

Section 8-1C (Day 2) Worksheet

§ How can you use a graph to find the zeros of a function?

Quiz over 8-1

Section 8-2A Page 568-569 #1, 13-20, 25, 26

§ A quadratic equation can have as many as two real solutions. Can other polynomial equations have more solutions? Explain.

Section 8-2B (Day 1) Page 574-575 #1-12

§ When you are dividing a polynomial by a first-degree polynomial, how do you know when you are finished?

Section 8-2B (Day 2) Page 575 #15-21, 23-25

§ Describe the relationship between the factors of polynomials and roots of polynomial equations.

Section 8-2B (Day 3) Page 576-577 #32-35, 41-44, 63, 64

§ How many factors of the form (x – a) do you think a cubic polynomial can have? Explain.

Section 8-2C (Day 1) Page 580-581 #1, 6-9, 16, 18, 23, 24

§ How can you recognize a multiple root of a polynomial equation from the factored form of the related polynomial?

Section 8-2C (Day 2) Worksheet

§ How can you use the degree and graph of a polynomial function to determine the number and nature of roots for that function?

Chapter 8 Review Review Packet

§ Answer the unit umbrella questions. Do this on a separate sheet of paper. This assignment is worth an additional 4 points!!!

Chapter 8 Test!

COMPLETING YOUR HOMEWORK EVERYDAY IS ONE OF THE KEYS TO SUCCESS IN MATHEMATICS ALONG WITH ASKING QUESTIONS!!!