1. Trashketball Review Chapter 6 Polynomial Functions and Stuff

2. Trashketball Review of ch 3 1111 2 3 4 7 8 6 5 10 12 11 9 16 15 14 13 20 19 18 17 21 26 22 23 24 25

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4. 2 +/-1, +/-2, +/-5, +/-10, +/- ½, +/- 5/2

5. 3 F(x) =

6. 4 Using your TI-83, identify the x- intercepts, local max and local min of the graph of X-int: (0, -3) and (0, 3)

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10. 8 Find all of the zeros of the function below:

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12. 10 Create a function for the following end behavior. The function must be of degree 5 or higher and the function must have at least 5 terms. Answers will vary but MUST be correct to get credit.

13. 11 Use synthetic division to determine if 2 is a zero of f(x) = 2x 3 – 3x 2 – 6x + 6. And EXPLAIN how you know. No. f(2) has a remainder of -2

14. 12 Suppose a polynomial function of degree 5 with rational coefficients has the given zeros: -3,, and 4+3i. Find the other zeros.

15. 13 Use synthetic substitution to find the function value f(-10) if f(x) = x 5 – 4x 4 + x 3 – x 2 + 2x - 100

16. 14 Consider the graph the polynomial function: f(x) = 3x(x + 5)(x – 4)(x + 1)(x – 2): a) What are the zeros of the function? b) What are the x-intercepts of the function? c) What is the degree of this function? a)0, -5, 4, -1, 2 b)(0,0), (-5,0), (4,0), (-1,0), (2,0) c)5 th degree

17. 15 Use synthetic division to find the quotient (x 4 - 6x 2 + 5) ÷ (x + 3) x 3 – 3x 2 + 3x – 9 +

18. 16 Find ALL zeros of the function f(x) = x 4 + x 3 – 7x 2 – x + 6 2, 1, -1, -3

19. 17 Find a polynomial of lowest degree with rational coefficients that has the given numbers as some of its zeros: 3, 2 – 5i

20. 18 Mathematically describe the end behaviors for the function below: f(x) = 6x 3 – 2x 2 – 5x 8 + 3x - 9 Must have both parts correct:

21. 19 List all possible rational zeros of the function f(x) = 9x 3 – 5x 2 + x – 12

22. 20 Simplify

23. 21 Multiply: (x+3)(x+2)(x-1) X 3 + 4x 2 + x - 6 g(x) =

24. 22 For 1990 to 1998, the value of a horse winning the Kentucky Derby can be modeled by: V = 2553x 3 – 25200.56x 2 + 64026.95x + 428075.56 Where x is the number of years since 1990. Use a graphing calculator to determine what year the winnings were $488,150

25. 23 There are seven teams in the Atlantic Division of the Eastern Conference of the NBA. During the 1997-98 season the winning percentage of teams in this division can be modeled by: W = -0.0051x 3 + 0.063x 2 – 0.260x + 0.862 Where x is the team’s ranking within the division. Orlando’s winning percent was 0.500. Use the graphing calculator to estimate their ranking in the division. 5

26. 24 Write a cubic function that passes through the given points: (-1,0), (2,0), (3,0),(0,9) f(x) = 3/2 (x+1)(x-2)(x-3)

27. 25 Factor: x 4 - 16 (x 2 + 4)(x + 2)(x – 2)

28. 26 Solve: x 3 + 4x 2 = 7x + 28