Trashketball Review Chapter 6 Polynomial Functions and Stuff.
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Transcript of Trashketball Review Chapter 6 Polynomial Functions and Stuff.
Trashketball Review
Chapter 6
Polynomial Functions and Stuff
Trashketball Review of ch 3
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191817
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232425
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+/-1, +/-2, +/-5, +/-10,
+/- ½, +/- 5/2
1052)(
zeros rational possible all Find2 xxxf
3
F(x) =
4Using your TI-83, identify the x-intercepts, local max and local min of the graph of
X-int: (0, -3) and (0, 3)
5
)3)(1)(4(
operation thePerform
xxx
12133 xx
6
FACTOR
7
Solve
8Find all of the zeros of the function below:
9Simplify
10Create 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.
11Use synthetic division to determine if 2 is a zero of f(x) = 2x3 – 3x2 – 6x + 6. And EXPLAIN how you know.
No.
f(2) has a remainder
of -2
12 Suppose a polynomial function of degree 5 with rational coefficients has the
given zeros: -3, , and 4+3i. Find the other zeros.
iand 342
13Use synthetic substitution to
find the function value f(-10) if
220,141)10( f
f(x) = x5 – 4x4 + x3 – x2 + 2x - 100
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) 5th degree
15
Use synthetic division to find the quotient (x4 - 6x2 + 5) ÷ (x + 3)
x3 – 3x2 + 3x – 9 +
16Find ALL zeros of the function
f(x) = x4 + x3 – 7x2 – x + 6
2, 1, -1, -3
17Find a polynomial of lowest degree with rational coefficients that has the given numbers as some of its zeros:
3, 2 – 5i
87417)( 23 xxxxf
18Mathematically describe the end behaviors for the function below:f(x) = 6x3 – 2x2 – 5x8 + 3x - 9
Must have both parts correct:
)(,
)(,
xfxAs
xfxAs
19List all possible rational zeros of the function
f(x) = 9x3 – 5x2 + x – 12
9
4,
9
2,
9
1,
3
4,
3
2,
3
1
,12,6,4,3,2,1
20 Simplify
21Multiply: (x+3)(x+2)(x-1)
X3 + 4x2 + x - 6
g(x) =
22
For 1990 to 1998, the value of a horse winning
the Kentucky Derby can be modeled by:
V = 2553x3 – 25200.56x2 + 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
23There 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 = -0.0051x3 + 0.063x2 – 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
24Write 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)
25Factor:x4 - 16
(x2 + 4)(x + 2)(x – 2)
26Solve:x3 + 4x2 = 7x + 28