College Algebra Essentials
1st Edition
ISBN: 9780078035616
Author: Julie Miller
Publisher: MCG
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Question
Chapter 3.2, Problem 44PE
To determine
To calculate: The zeroes of function and state the multiplicities,
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Check out a sample textbook solutionStudents have asked these similar questions
For Exercises 8–10,
a. Simplify the expression. Do not rationalize the denominator.
b. Find the values of x for which the expression equals zero.
c. Find the values of x for which the denominator is zero.
4x(4x – 5) – 2x² (4)
8.
-6x(6x + 1) – (–3x²)(6)
(6x + 1)2
9.
(4x – 5)?
-
10. V4 – x² - -() 2)
In Exercises 12–20, find all zeros of each polynomial function.
Then graph the function.
12. f(x) = (x – 2)°(x + 1)³
13. f(x) = -(x – 2)(x + 1)?
14. f(x) = x - xr? – 4x + 4
15. f(x) = x* - 5x² + 4
16. f(x) = -(x + 1)°
17. f(x) = -6x³ + 7x? - 1
18. f(x) = 2r³ – 2x
19. f(x) = x - 2x² + 26x
20. f(x) = -x + 5x² – 5x – 3
%3D
%3D
%3!
%3D
%3!
For Exercises 69–84, find the zeros and their multiplicities. Consider using Descartes' rule of signs and the upper and lower
bound theorem to limit your search for rational zeros. (See Example 10)
69. f(x) = 8x – 42x + 33x + 28
(Hint: See Exercise 61.)
6x – x?
(Hint: See Exercise 62.)
70. f(x)
- 57x + 70
72. f(x) = 3x – 16x + 5x + 90x
(Hint: See Exercise 64.)
2x + 11x - 63x?
- 50x + 40
71. f(x) =
(Hint: See Exercise 63.)
-
138x + 36
Chapter 3 Solutions
College Algebra Essentials
Ch. 3.1 - Prob. 1SPCh. 3.1 - Prob. 2SPCh. 3.1 - Prob. 3SPCh. 3.1 - Prob. 4SPCh. 3.1 - Prob. 5SPCh. 3.1 - Prob. 6SPCh. 3.1 - Prob. 1PECh. 3.1 - Prob. 2PECh. 3.1 - Prob. 3PECh. 3.1 - Prob. 4PE
Ch. 3.1 - Prob. 5PECh. 3.1 - Prob. 6PECh. 3.1 - Prob. 7PECh. 3.1 - Prob. 8PECh. 3.1 - Prob. 9PECh. 3.1 - Prob. 10PECh. 3.1 - Prob. 11PECh. 3.1 - Prob. 12PECh. 3.1 - Prob. 13PECh. 3.1 - Prob. 14PECh. 3.1 - Prob. 15PECh. 3.1 - Prob. 16PECh. 3.1 - Prob. 17PECh. 3.1 - Prob. 18PECh. 3.1 - Prob. 19PECh. 3.1 - Prob. 20PECh. 3.1 - Prob. 21PECh. 3.1 - Prob. 22PECh. 3.1 - Prob. 23PECh. 3.1 - Prob. 24PECh. 3.1 - Prob. 25PECh. 3.1 - Prob. 26PECh. 3.1 - Prob. 27PECh. 3.1 - Prob. 28PECh. 3.1 - Prob. 29PECh. 3.1 - For Exercises 2730, a. State whether the graph of...Ch. 3.1 - Prob. 31PECh. 3.1 - Prob. 32PECh. 3.1 - Prob. 33PECh. 3.1 - Prob. 34PECh. 3.1 - Prob. 35PECh. 3.1 - A long jumper leaves the ground at an angle of 20...Ch. 3.1 - Prob. 37PECh. 3.1 - Prob. 38PECh. 3.1 - Prob. 39PECh. 3.1 - Prob. 40PECh. 3.1 - Prob. 41PECh. 3.1 - Prob. 42PECh. 3.1 - Prob. 43PECh. 3.1 - Prob. 44PECh. 3.1 - Prob. 45PECh. 3.1 - Prob. 46PECh. 3.1 - Prob. 47PECh. 3.1 - Prob. 48PECh. 3.1 - Prob. 49PECh. 3.1 - Prob. 50PECh. 3.1 - For Exercises 4952, given a quadratic function...Ch. 3.1 - Prob. 52PECh. 3.1 - Prob. 53PECh. 3.1 - Prob. 54PECh. 3.1 - Prob. 55PECh. 3.1 - Prob. 56PECh. 3.1 - Prob. 57PECh. 3.1 - Prob. 58PECh. 3.1 - Prob. 59PECh. 3.1 - Prob. 60PECh. 3.1 - Prob. 61PECh. 3.1 - Prob. 62PECh. 3.1 - Prob. 63PECh. 3.1 - Prob. 64PECh. 3.1 - Prob. 65PECh. 3.1 - Prob. 66PECh. 3.1 - Prob. 67PECh. 3.1 - Prob. 68PECh. 3.1 - Prob. 69PECh. 3.1 - Prob. 70PECh. 3.1 - Prob. 71PECh. 3.1 - Prob. 72PECh. 3.1 - Prob. 73PECh. 3.1 - Prob. 74PECh. 3.1 - Prob. 75PECh. 3.1 - Prob. 76PECh. 3.1 - Prob. 77PECh. 3.1 - Prob. 78PECh. 3.1 - Prob. 79PECh. 3.1 - Prob. 80PECh. 3.2 - Prob. 1SPCh. 3.2 - Prob. 2SPCh. 3.2 - Prob. 3SPCh. 3.2 - Prob. 4SPCh. 3.2 - Prob. 5SPCh. 3.2 - Prob. 6SPCh. 3.2 - Prob. 7SPCh. 3.2 - Prob. 1PECh. 3.2 - Prob. 2PECh. 3.2 - Prob. 3PECh. 3.2 - Prob. 4PECh. 3.2 - Prob. 5PECh. 3.2 - Prob. 6PECh. 3.2 - Prob. 7PECh. 3.2 - Prob. 8PECh. 3.2 - Prob. 9PECh. 3.2 - Prob. 10PECh. 3.2 - Prob. 11PECh. 3.2 - Prob. 12PECh. 3.2 - Determine if the statement is true or false. The...Ch. 3.2 - Prob. 14PECh. 3.2 - Prob. 15PECh. 3.2 - Prob. 16PECh. 3.2 - Prob. 17PECh. 3.2 - Prob. 18PECh. 3.2 - Prob. 19PECh. 3.2 - Prob. 20PECh. 3.2 - Prob. 21PECh. 3.2 - Prob. 22PECh. 3.2 - Prob. 23PECh. 3.2 - Prob. 24PECh. 3.2 - Prob. 25PECh. 3.2 - Prob. 26PECh. 3.2 - Prob. 27PECh. 3.2 - Prob. 28PECh. 3.2 - Prob. 29PECh. 3.2 - Prob. 30PECh. 3.2 - For Exercises 2936, determine the end behavior of...Ch. 3.2 - Prob. 32PECh. 3.2 - Prob. 33PECh. 3.2 - Prob. 34PECh. 3.2 - Prob. 35PECh. 3.2 - Prob. 36PECh. 3.2 - Prob. 37PECh. 3.2 - Prob. 38PECh. 3.2 - Prob. 39PECh. 3.2 - Prob. 40PECh. 3.2 - Prob. 41PECh. 3.2 - Prob. 42PECh. 3.2 - Prob. 43PECh. 3.2 - Prob. 44PECh. 3.2 - Prob. 45PECh. 3.2 - Prob. 46PECh. 3.2 - Prob. 47PECh. 3.2 - Prob. 48PECh. 3.2 - Prob. 49PECh. 3.2 - Prob. 50PECh. 3.2 - For Exercises 5152, a table of values is given for...Ch. 3.2 - Prob. 52PECh. 3.2 - Prob. 53PECh. 3.2 - Prob. 54PECh. 3.2 - Prob. 55PECh. 3.2 - Prob. 56PECh. 3.2 - For Exercises 5562, determine if the graph can...Ch. 3.2 - Prob. 58PECh. 3.2 - Prob. 59PECh. 3.2 - Prob. 60PECh. 3.2 - Prob. 61PECh. 3.2 - Prob. 62PECh. 3.2 - Prob. 63PECh. 3.2 - Prob. 64PECh. 3.2 - Prob. 65PECh. 3.2 - Prob. 66PECh. 3.2 - Prob. 67PECh. 3.2 - Prob. 68PECh. 3.2 - Prob. 69PECh. 3.2 - Prob. 70PECh. 3.2 - Prob. 71PECh. 3.2 - Prob. 72PECh. 3.2 - Prob. 73PECh. 3.2 - Prob. 74PECh. 3.2 - Prob. 75PECh. 3.2 - Prob. 76PECh. 3.2 - Prob. 77PECh. 3.2 - For Exercises 7586, determine if the statement is...Ch. 3.2 - Prob. 79PECh. 3.2 - Prob. 80PECh. 3.2 - Prob. 81PECh. 3.2 - For Exercises 7586, determine if the statement is...Ch. 3.2 - Prob. 83PECh. 3.2 - Prob. 84PECh. 3.2 - Prob. 85PECh. 3.2 - For Exercises 7586, determine if the statement is...Ch. 3.2 - Prob. 87PECh. 3.2 - Prob. 88PECh. 3.2 - Prob. 89PECh. 3.2 - Prob. 90PECh. 3.2 - Prob. 91PECh. 3.2 - Prob. 92PECh. 3.2 - Prob. 93PECh. 3.2 - Prob. 94PECh. 3.2 - Prob. 95PECh. 3.2 - Prob. 96PECh. 3.2 - Prob. 97PECh. 3.2 - Prob. 98PECh. 3.2 - Prob. 99PECh. 3.2 - Prob. 100PECh. 3.2 - Prob. 101PECh. 3.2 - Prob. 102PECh. 3.2 - Prob. 103PECh. 3.2 - Prob. 104PECh. 3.2 - Prob. 105PECh. 3.2 - Prob. 106PECh. 3.3 - Prob. 1SPCh. 3.3 - Prob. 2SPCh. 3.3 - Prob. 3SPCh. 3.3 - Prob. 4SPCh. 3.3 - Prob. 5SPCh. 3.3 - Prob. 6SPCh. 3.3 - Prob. 7SPCh. 3.3 - Prob. 8SPCh. 3.3 - Prob. 9SPCh. 3.3 - Prob. 10SPCh. 3.3 - Prob. 1PECh. 3.3 - Prob. 2PECh. 3.3 - Prob. 3PECh. 3.3 - Prob. 4PECh. 3.3 - Prob. 5PECh. 3.3 - Prob. 6PECh. 3.3 - Prob. 7PECh. 3.3 - Prob. 8PECh. 3.3 - Prob. 9PECh. 3.3 - Prob. 10PECh. 3.3 - Prob. 11PECh. 3.3 - Prob. 12PECh. 3.3 - Prob. 13PECh. 3.3 - Prob. 14PECh. 3.3 - Prob. 15PECh. 3.3 - Prob. 16PECh. 3.3 - Prob. 17PECh. 3.3 - Prob. 18PECh. 3.3 - Prob. 19PECh. 3.3 - Prob. 20PECh. 3.3 - Prob. 21PECh. 3.3 - Prob. 22PECh. 3.3 - Prob. 23PECh. 3.3 - Prob. 24PECh. 3.3 - Prob. 25PECh. 3.3 - Prob. 26PECh. 3.3 - Prob. 27PECh. 3.3 - Prob. 28PECh. 3.3 - Prob. 29PECh. 3.3 - Prob. 30PECh. 3.3 - Prob. 31PECh. 3.3 - Prob. 32PECh. 3.3 - For Exercises 3134, consider the division of two...Ch. 3.3 - Prob. 34PECh. 3.3 - Prob. 35PECh. 3.3 - Prob. 36PECh. 3.3 - Prob. 37PECh. 3.3 - Prob. 38PECh. 3.3 - Prob. 39PECh. 3.3 - Prob. 40PECh. 3.3 - Prob. 41PECh. 3.3 - Prob. 42PECh. 3.3 - Prob. 43PECh. 3.3 - Prob. 44PECh. 3.3 - Prob. 45PECh. 3.3 - Prob. 46PECh. 3.3 - Prob. 47PECh. 3.3 - Prob. 48PECh. 3.3 - Prob. 49PECh. 3.3 - Prob. 50PECh. 3.3 - Prob. 51PECh. 3.3 - Prob. 52PECh. 3.3 - Prob. 53PECh. 3.3 - Prob. 54PECh. 3.3 - Prob. 55PECh. 3.3 - For Exercises 5158. use the remainder theorem to...Ch. 3.3 - Prob. 57PECh. 3.3 - Prob. 58PECh. 3.3 - Prob. 59PECh. 3.3 - Prob. 60PECh. 3.3 - Prob. 61PECh. 3.3 - Prob. 62PECh. 3.3 - Prob. 63PECh. 3.3 - Prob. 64PECh. 3.3 - Prob. 65PECh. 3.3 - Prob. 66PECh. 3.3 - Prob. 67PECh. 3.3 - Prob. 68PECh. 3.3 - Prob. 69PECh. 3.3 - Prob. 70PECh. 3.3 - Prob. 71PECh. 3.3 - Prob. 72PECh. 3.3 - Prob. 73PECh. 3.3 - Prob. 74PECh. 3.3 - Prob. 75PECh. 3.3 - Prob. 76PECh. 3.3 - Prob. 77PECh. 3.3 - Prob. 78PECh. 3.3 - Prob. 79PECh. 3.3 - Prob. 80PECh. 3.3 - Prob. 81PECh. 3.3 - Prob. 82PECh. 3.3 - Prob. 83PECh. 3.3 - Prob. 84PECh. 3.3 - Prob. 85PECh. 3.3 - Prob. 86PECh. 3.3 - Prob. 87PECh. 3.3 - Prob. 88PECh. 3.3 - Prob. 89PECh. 3.3 - Prob. 90PECh. 3.3 - Prob. 91PECh. 3.3 - Prob. 92PECh. 3.3 - Prob. 93PECh. 3.3 - Prob. 94PECh. 3.3 - Prob. 95PECh. 3.3 - Prob. 96PECh. 3.3 - Prob. 97PECh. 3.3 - Prob. 98PECh. 3.3 - Prob. 99PECh. 3.3 - Prob. 100PECh. 3.3 - Prob. 101PECh. 3.3 - Prob. 102PECh. 3.3 - Prob. 103PECh. 3.3 - Prob. 104PECh. 3.3 - Prob. 105PECh. 3.3 - Prob. 106PECh. 3.4 - Prob. 1SPCh. 3.4 - Prob. 2SPCh. 3.4 - Prob. 3SPCh. 3.4 - Prob. 4SPCh. 3.4 - Prob. 5SPCh. 3.4 - Prob. 6SPCh. 3.4 - Prob. 7SPCh. 3.4 - Prob. 8SPCh. 3.4 - Prob. 9SPCh. 3.4 - Prob. 10SPCh. 3.4 - Prob. 1PECh. 3.4 - Prob. 2PECh. 3.4 - Prob. 3PECh. 3.4 - Prob. 4PECh. 3.4 - Prob. 5PECh. 3.4 - Prob. 6PECh. 3.4 - Prob. 7PECh. 3.4 - Prob. 8PECh. 3.4 - Prob. 9PECh. 3.4 - Prob. 10PECh. 3.4 - Prob. 11PECh. 3.4 - Prob. 12PECh. 3.4 - Prob. 13PECh. 3.4 - Prob. 14PECh. 3.4 - Prob. 15PECh. 3.4 - Prob. 16PECh. 3.4 - Prob. 17PECh. 3.4 - Prob. 18PECh. 3.4 - Prob. 19PECh. 3.4 - Prob. 20PECh. 3.4 - Prob. 21PECh. 3.4 - Prob. 22PECh. 3.4 - Prob. 23PECh. 3.4 - Prob. 24PECh. 3.4 - Prob. 25PECh. 3.4 - Prob. 26PECh. 3.4 - Prob. 27PECh. 3.4 - Prob. 28PECh. 3.4 - Prob. 29PECh. 3.4 - Prob. 30PECh. 3.4 - Prob. 31PECh. 3.4 - Prob. 32PECh. 3.4 - Prob. 33PECh. 3.4 - Prob. 34PECh. 3.4 - Prob. 35PECh. 3.4 - Prob. 36PECh. 3.4 - Prob. 37PECh. 3.4 - Prob. 38PECh. 3.4 - Prob. 39PECh. 3.4 - Prob. 40PECh. 3.4 - Prob. 41PECh. 3.4 - Prob. 42PECh. 3.4 - Prob. 43PECh. 3.4 - Prob. 44PECh. 3.4 - Prob. 45PECh. 3.4 - Prob. 46PECh. 3.4 - Prob. 47PECh. 3.4 - For Exercises 4552, write a polynomial f(x) that...Ch. 3.4 - For Exercises 4552, write a polynomial f(x) that...Ch. 3.4 - Prob. 50PECh. 3.4 - Prob. 51PECh. 3.4 - Prob. 52PECh. 3.4 - Prob. 53PECh. 3.4 - Prob. 54PECh. 3.4 - Prob. 55PECh. 3.4 - Prob. 56PECh. 3.4 - Prob. 57PECh. 3.4 - Prob. 58PECh. 3.4 - Prob. 59PECh. 3.4 - Prob. 60PECh. 3.4 - Prob. 61PECh. 3.4 - Prob. 62PECh. 3.4 - Prob. 63PECh. 3.4 - Prob. 64PECh. 3.4 - Prob. 65PECh. 3.4 - Prob. 66PECh. 3.4 - Prob. 67PECh. 3.4 - Prob. 68PECh. 3.4 - Prob. 69PECh. 3.4 - Prob. 70PECh. 3.4 - Prob. 71PECh. 3.4 - Prob. 72PECh. 3.4 - Prob. 73PECh. 3.4 - Prob. 74PECh. 3.4 - Prob. 75PECh. 3.4 - Prob. 76PECh. 3.4 - Prob. 77PECh. 3.4 - Prob. 78PECh. 3.4 - Prob. 79PECh. 3.4 - Prob. 80PECh. 3.4 - Prob. 81PECh. 3.4 - Prob. 82PECh. 3.4 - Prob. 83PECh. 3.4 - Prob. 84PECh. 3.4 - Prob. 85PECh. 3.4 - Prob. 86PECh. 3.4 - Prob. 87PECh. 3.4 - Prob. 88PECh. 3.4 - Prob. 89PECh. 3.4 - Prob. 90PECh. 3.4 - Prob. 91PECh. 3.4 - Prob. 92PECh. 3.4 - Prob. 93PECh. 3.4 - Prob. 94PECh. 3.4 - Prob. 95PECh. 3.4 - Prob. 96PECh. 3.4 - Prob. 97PECh. 3.4 - Prob. 98PECh. 3.4 - Prob. 99PECh. 3.4 - Prob. 100PECh. 3.4 - Prob. 101PECh. 3.4 - Prob. 102PECh. 3.4 - Prob. 103PECh. 3.4 - Prob. 104PECh. 3.4 - Prob. 105PECh. 3.4 - Prob. 106PECh. 3.4 - Prob. 107PECh. 3.4 - Prob. 108PECh. 3.4 - Prob. 109PECh. 3.4 - Prob. 110PECh. 3.4 - Prob. 111PECh. 3.4 - Find all sixth roots of 1, by solving the equation...Ch. 3.4 - Prob. 113PECh. 3.4 - Prob. 114PECh. 3.4 - Prob. 115PECh. 3.4 - Prob. 116PECh. 3.5 - Prob. 1SPCh. 3.5 - Prob. 2SPCh. 3.5 - Prob. 3SPCh. 3.5 - Prob. 4SPCh. 3.5 - Prob. 5SPCh. 3.5 - Prob. 6SPCh. 3.5 - Prob. 7SPCh. 3.5 - Prob. 8SPCh. 3.5 - Prob. 9SPCh. 3.5 - Prob. 10SPCh. 3.5 - Prob. 1PECh. 3.5 - Prob. 2PECh. 3.5 - Prob. 3PECh. 3.5 - Prob. 4PECh. 3.5 - Prob. 5PECh. 3.5 - Prob. 6PECh. 3.5 - Prob. 7PECh. 3.5 - Prob. 8PECh. 3.5 - Prob. 9PECh. 3.5 - Prob. 10PECh. 3.5 - Prob. 11PECh. 3.5 - Prob. 12PECh. 3.5 - Prob. 13PECh. 3.5 - Prob. 14PECh. 3.5 - Prob. 15PECh. 3.5 - Prob. 16PECh. 3.5 - Prob. 17PECh. 3.5 - Prob. 18PECh. 3.5 - Prob. 19PECh. 3.5 - Prob. 20PECh. 3.5 - Prob. 21PECh. 3.5 - Prob. 22PECh. 3.5 - Prob. 23PECh. 3.5 - For Exercises 2326, refer to the graph of the...Ch. 3.5 - Prob. 25PECh. 3.5 - Prob. 26PECh. 3.5 - Prob. 27PECh. 3.5 - Prob. 28PECh. 3.5 - Prob. 29PECh. 3.5 - Prob. 30PECh. 3.5 - Prob. 31PECh. 3.5 - Prob. 32PECh. 3.5 - Prob. 33PECh. 3.5 - Prob. 34PECh. 3.5 - Prob. 35PECh. 3.5 - Prob. 36PECh. 3.5 - Prob. 37PECh. 3.5 - Prob. 38PECh. 3.5 - Prob. 39PECh. 3.5 - Prob. 40PECh. 3.5 - Prob. 41PECh. 3.5 - Prob. 42PECh. 3.5 - Prob. 43PECh. 3.5 - Prob. 44PECh. 3.5 - Prob. 45PECh. 3.5 - Prob. 46PECh. 3.5 - Prob. 47PECh. 3.5 - Prob. 48PECh. 3.5 - Prob. 49PECh. 3.5 - Prob. 50PECh. 3.5 - Prob. 51PECh. 3.5 - Prob. 52PECh. 3.5 - Prob. 53PECh. 3.5 - Prob. 54PECh. 3.5 - Prob. 55PECh. 3.5 - Prob. 56PECh. 3.5 - Prob. 57PECh. 3.5 - Prob. 58PECh. 3.5 - Prob. 59PECh. 3.5 - Prob. 60PECh. 3.5 - Prob. 61PECh. 3.5 - Prob. 62PECh. 3.5 - Prob. 63PECh. 3.5 - Prob. 64PECh. 3.5 - Prob. 65PECh. 3.5 - Prob. 66PECh. 3.5 - Prob. 67PECh. 3.5 - Prob. 68PECh. 3.5 - Prob. 69PECh. 3.5 - Prob. 70PECh. 3.5 - Prob. 71PECh. 3.5 - Prob. 72PECh. 3.5 - Prob. 73PECh. 3.5 - Prob. 74PECh. 3.5 - Prob. 75PECh. 3.5 - Prob. 76PECh. 3.5 - Prob. 77PECh. 3.5 - Prob. 78PECh. 3.5 - Prob. 79PECh. 3.5 - Prob. 80PECh. 3.5 - Prob. 81PECh. 3.5 - Prob. 82PECh. 3.5 - Prob. 83PECh. 3.5 - Prob. 84PECh. 3.5 - Prob. 85PECh. 3.5 - Prob. 86PECh. 3.5 - Prob. 87PECh. 3.5 - Prob. 88PECh. 3.5 - Prob. 89PECh. 3.5 - Prob. 90PECh. 3.5 - Prob. 91PECh. 3.5 - Prob. 92PECh. 3.5 - Prob. 93PECh. 3.5 - Prob. 94PECh. 3.5 - Prob. 95PECh. 3.5 - Prob. 96PECh. 3.5 - Prob. 97PECh. 3.5 - Prob. 98PECh. 3.5 - Prob. 99PECh. 3.5 - Prob. 100PECh. 3.5 - Prob. 101PECh. 3.5 - Prob. 102PECh. 3.5 - Prob. 103PECh. 3.5 - Prob. 104PECh. 3.5 - Prob. 105PECh. 3.5 - Prob. 106PECh. 3.5 - Prob. 107PECh. 3.5 - Prob. 108PECh. 3.5 - Prob. 109PECh. 3.5 - Prob. 110PECh. 3.5 - Prob. 111PECh. 3.5 - Prob. 112PECh. 3.5 - Prob. 113PECh. 3.5 - Prob. 1PRECh. 3.5 - Prob. 2PRECh. 3.5 - Prob. 3PRECh. 3.5 - Prob. 4PRECh. 3.5 - Prob. 5PRECh. 3.5 - Prob. 6PRECh. 3.5 - Prob. 7PRECh. 3.5 - Prob. 8PRECh. 3.5 - Prob. 9PRECh. 3.5 - Prob. 10PRECh. 3.5 - Prob. 11PRECh. 3.5 - Prob. 12PRECh. 3.5 - Prob. 13PRECh. 3.5 - Prob. 14PRECh. 3.5 - Prob. 15PRECh. 3.5 - Prob. 16PRECh. 3.5 - Prob. 17PRECh. 3.5 - Prob. 18PRECh. 3.5 - Prob. 19PRECh. 3.5 - Prob. 20PRECh. 3.5 - Prob. 21PRECh. 3.5 - Prob. 22PRECh. 3.6 - Prob. 1SPCh. 3.6 - Prob. 2SPCh. 3.6 - Prob. 3SPCh. 3.6 - Prob. 4SPCh. 3.6 - Prob. 5SPCh. 3.6 - Prob. 6SPCh. 3.6 - Prob. 1PECh. 3.6 - Prob. 2PECh. 3.6 - Prob. 3PECh. 3.6 - Prob. 4PECh. 3.6 - Prob. 5PECh. 3.6 - Prob. 6PECh. 3.6 - Prob. 7PECh. 3.6 - Prob. 8PECh. 3.6 - Prob. 9PECh. 3.6 - Prob. 10PECh. 3.6 - Prob. 11PECh. 3.6 - Prob. 12PECh. 3.6 - Prob. 13PECh. 3.6 - Prob. 14PECh. 3.6 - Prob. 15PECh. 3.6 - Prob. 16PECh. 3.6 - Prob. 17PECh. 3.6 - Prob. 18PECh. 3.6 - Prob. 19PECh. 3.6 - Prob. 20PECh. 3.6 - Prob. 21PECh. 3.6 - Prob. 22PECh. 3.6 - Prob. 23PECh. 3.6 - Prob. 24PECh. 3.6 - Prob. 25PECh. 3.6 - Prob. 26PECh. 3.6 - Prob. 27PECh. 3.6 - Prob. 28PECh. 3.6 - Prob. 29PECh. 3.6 - Prob. 30PECh. 3.6 - Prob. 31PECh. 3.6 - Prob. 32PECh. 3.6 - Prob. 33PECh. 3.6 - Prob. 34PECh. 3.6 - Prob. 35PECh. 3.6 - Prob. 36PECh. 3.6 - Prob. 37PECh. 3.6 - Prob. 38PECh. 3.6 - Prob. 39PECh. 3.6 - Prob. 40PECh. 3.6 - Prob. 41PECh. 3.6 - Prob. 42PECh. 3.6 - Prob. 43PECh. 3.6 - Prob. 44PECh. 3.6 - Prob. 45PECh. 3.6 - For Exercises 2754, solve the inequalities....Ch. 3.6 - Prob. 47PECh. 3.6 - Prob. 48PECh. 3.6 - Prob. 49PECh. 3.6 - Prob. 50PECh. 3.6 - Prob. 51PECh. 3.6 - Prob. 52PECh. 3.6 - Prob. 53PECh. 3.6 - Prob. 54PECh. 3.6 - Prob. 55PECh. 3.6 - Prob. 56PECh. 3.6 - Prob. 57PECh. 3.6 - Prob. 58PECh. 3.6 - Prob. 59PECh. 3.6 - Prob. 60PECh. 3.6 - Prob. 61PECh. 3.6 - Prob. 62PECh. 3.6 - Prob. 63PECh. 3.6 - Prob. 64PECh. 3.6 - Prob. 65PECh. 3.6 - Prob. 66PECh. 3.6 - Prob. 67PECh. 3.6 - Prob. 68PECh. 3.6 - Prob. 69PECh. 3.6 - Prob. 70PECh. 3.6 - Prob. 71PECh. 3.6 - Prob. 72PECh. 3.6 - Prob. 73PECh. 3.6 - For Exercises 6384, solve the inequalities. 3xx+24Ch. 3.6 - Prob. 75PECh. 3.6 - Prob. 76PECh. 3.6 - Prob. 77PECh. 3.6 - Prob. 78PECh. 3.6 - Prob. 79PECh. 3.6 - Prob. 80PECh. 3.6 - Prob. 81PECh. 3.6 - Prob. 82PECh. 3.6 - Prob. 83PECh. 3.6 - Prob. 84PECh. 3.6 - Prob. 85PECh. 3.6 - Prob. 86PECh. 3.6 - Prob. 87PECh. 3.6 - Prob. 88PECh. 3.6 - Prob. 89PECh. 3.6 - Prob. 90PECh. 3.6 - Prob. 91PECh. 3.6 - Prob. 92PECh. 3.6 - Prob. 93PECh. 3.6 - Prob. 94PECh. 3.6 - Prob. 95PECh. 3.6 - Prob. 96PECh. 3.6 - Prob. 97PECh. 3.6 - Prob. 98PECh. 3.6 - Prob. 99PECh. 3.6 - Prob. 100PECh. 3.6 - Prob. 101PECh. 3.6 - Prob. 102PECh. 3.6 - Prob. 103PECh. 3.6 - Prob. 104PECh. 3.6 - Prob. 105PECh. 3.6 - Prob. 106PECh. 3.6 - Prob. 107PECh. 3.6 - Prob. 108PECh. 3.6 - Prob. 109PECh. 3.6 - Prob. 110PECh. 3.6 - Prob. 111PECh. 3.6 - Prob. 112PECh. 3.6 - Prob. 113PECh. 3.6 - Prob. 114PECh. 3.6 - Prob. 115PECh. 3.6 - Prob. 116PECh. 3.6 - Prob. 117PECh. 3.6 - Prob. 118PECh. 3.6 - Prob. 119PECh. 3.6 - Prob. 120PECh. 3.6 - Prob. 121PECh. 3.6 - Prob. 122PECh. 3.6 - Prob. 123PECh. 3.6 - Prob. 124PECh. 3.6 - Prob. 1PRECh. 3.6 - Prob. 2PRECh. 3.6 - Prob. 3PRECh. 3.6 - Prob. 4PRECh. 3.6 - Prob. 5PRECh. 3.6 - Prob. 6PRECh. 3.6 - Prob. 7PRECh. 3.6 - Prob. 8PRECh. 3.6 - Prob. 9PRECh. 3.6 - Prob. 10PRECh. 3.6 - Prob. 11PRECh. 3.6 - Prob. 12PRECh. 3.6 - Prob. 13PRECh. 3.6 - Prob. 14PRECh. 3.6 - Prob. 15PRECh. 3.6 - Prob. 16PRECh. 3.6 - Prob. 17PRECh. 3.6 - Prob. 18PRECh. 3.6 - Prob. 19PRECh. 3.6 - Prob. 20PRECh. 3.6 - Prob. 21PRECh. 3.6 - Prob. 22PRECh. 3.6 - Prob. 23PRECh. 3.6 - Prob. 24PRECh. 3.6 - Prob. 25PRECh. 3.6 - Prob. 26PRECh. 3.6 - Prob. 27PRECh. 3.6 - Prob. 28PRECh. 3.6 - Prob. 29PRECh. 3.6 - Prob. 30PRECh. 3.7 - Prob. 1SPCh. 3.7 - Prob. 2SPCh. 3.7 - Prob. 3SPCh. 3.7 - Prob. 4SPCh. 3.7 - Prob. 5SPCh. 3.7 - Prob. 1PECh. 3.7 - Prob. 2PECh. 3.7 - Prob. 3PECh. 3.7 - Prob. 4PECh. 3.7 - Prob. 5PECh. 3.7 - Prob. 6PECh. 3.7 - Prob. 7PECh. 3.7 - Prob. 8PECh. 3.7 - Prob. 9PECh. 3.7 - Prob. 10PECh. 3.7 - Prob. 11PECh. 3.7 - Prob. 12PECh. 3.7 - Prob. 13PECh. 3.7 - Prob. 14PECh. 3.7 - Prob. 15PECh. 3.7 - Prob. 16PECh. 3.7 - Prob. 17PECh. 3.7 - Prob. 18PECh. 3.7 - Prob. 19PECh. 3.7 - Prob. 20PECh. 3.7 - Prob. 21PECh. 3.7 - Prob. 22PECh. 3.7 - Prob. 23PECh. 3.7 - Prob. 24PECh. 3.7 - Prob. 25PECh. 3.7 - Prob. 26PECh. 3.7 - Prob. 27PECh. 3.7 - Prob. 28PECh. 3.7 - Prob. 29PECh. 3.7 - Prob. 30PECh. 3.7 - Prob. 31PECh. 3.7 - Prob. 32PECh. 3.7 - Prob. 33PECh. 3.7 - Prob. 34PECh. 3.7 - Prob. 35PECh. 3.7 - Prob. 36PECh. 3.7 - Prob. 37PECh. 3.7 - For Exercises 2948, use a variation model to solve...Ch. 3.7 - Prob. 39PECh. 3.7 - Prob. 40PECh. 3.7 - Prob. 41PECh. 3.7 - Prob. 42PECh. 3.7 - Prob. 43PECh. 3.7 - Prob. 44PECh. 3.7 - Prob. 45PECh. 3.7 - Prob. 46PECh. 3.7 - Prob. 47PECh. 3.7 - Prob. 48PECh. 3.7 - Prob. 49PECh. 3.7 - Prob. 50PECh. 3.7 - Prob. 51PECh. 3.7 - Prob. 52PECh. 3.7 - Prob. 53PECh. 3.7 - Prob. 54PECh. 3.7 - Prob. 55PECh. 3.7 - Prob. 56PECh. 3.7 - Prob. 57PECh. 3.7 - Prob. 58PECh. 3.7 - Prob. 59PECh. 3.7 - Prob. 60PECh. 3.7 - Prob. 61PECh. 3.7 - Prob. 62PECh. 3.7 - Prob. 63PECh. 3.7 - Prob. 64PECh. 3.7 - Prob. 65PECh. 3.7 - Prob. 66PECh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Prob. 67RECh. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26TCh. 3 - Prob. 27TCh. 3 - Prob. 28TCh. 3 - Prob. 29TCh. 3 - Prob. 30TCh. 3 - Prob. 31TCh. 3 - Prob. 32TCh. 3 - Prob. 33TCh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Prob. 6CRECh. 3 - Prob. 7CRECh. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - Prob. 11CRECh. 3 - Prob. 12CRECh. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Prob. 17CRECh. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRE
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- In Exercises 9–12, find a first- degree polynomial function P1 whose value and slope agree with the value and slope of f at x = c. Use a graphing utility to graph f and P1.arrow_forwardIn Exercises 16–17, find the zeros for each polynomial function and give the multiplicity of each zero. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. 1)(x + 2)²(x + 5)³ 25x+125 16. f(x) = -2(x 17. f(x) = x³ - 5x²arrow_forwardFor Exercises 23–24, use the remainder theorem to determine if the given number c is a zero of the polynomial. 23. f(x) = 3x + 13x + 2x + 52x – 40 a. c = 2 b. c = 24. f(x) = x* + 6x + 9x? + 24x + 20 а. с 3D —5 b. c = 2iarrow_forward
- In Exercises 130–133, use a graphing utility to graph the functions y, and y2. Select a viewing rectangle that is large enough to show the end behavior of y2. What can you conclude? Verify your conclusions using polynomial multiplication. 130. yı = (x - 2)² y2 = x2 – 4x + 4 131. yı = (x – 4)(x² y2 = x - 7x2 + 14x – 8 132. yı = (x – 1)(x + x + 1) y2 = x – 1 133. yı = (x + 1.5)(x – 1.5) y2 = x? – 2.25 3x + 2)arrow_forwardIn Exercises 1–10, determine which functions are polynomial functions. For those that are, identify the degree. 2. f(x)=7x2 +9x4 3. g(x) = 7x5 - px3 + 1/5x 5. h(x) = 7x3 +2x2 + 1/x 7. f(x)=x1/2 -3x2 +5arrow_forwardExercises 47 D–520: The graph of either a cubic, quartic, or quintic polynomial f(x) with integer zeros is shown. Write the complete factored form of f(x). (Hint: In Exercises 51 O and 52 O the leading coefficient is not +1.)arrow_forward
- In Exercises 26–31, find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. 26. n= 3; 4 and 2i are zeros; f(-1) = -50 31. n= 4; -2, 5, and 3 + 2i are zeros; f(1) = -96arrow_forwardIn Exercises 25–32, find the zeros for each polynomial function and give the multiplicity for each zero. State whether the graph crosses the xaxis, or touches the xaxis and turns around, at each zero. 28. f(x) = -31x + 1/2(x - 4)3 29. f(x)=x3 -2x2 +x30. f(x)=x3 +4x2 +4x31. f(x)=x3 +7x2 -4x-28 32. f(x)=x3 +5x2 -9x-45arrow_forwardIn Exercises 1–16, divide using long division. State the quotient, q(x), and the remainder, r(x). 18x4 + 9x3 + 3x2 /3x2+1 In Exercises 17–25, divide using synthetic division. 17. (2x2 +x-10)/(x-2) 25. (x2 -5x-5x3 +x4)/(5+x)arrow_forward
- In Problems 51–68, find the real zeros of f. Use the real zeros to factor f.arrow_forwardRead and understand the lessons on transforming and graphing quadratic functions on pages 26– 30 in PIVOT 4A Grade - 9 Mathematics Answer the following: I. Transform the quadratic function defined by y = ax2 + bx+ c into the form y = a(x-h)² + k. -1 --i-1 1. y = x2 – 6x – 3 2. y = 5x2 – 20x – 5arrow_forwardIn Exercises 83–86, determine whether thestatement is true or false. If it is false, explain why or give anexample that shows it is false. If the graph of a polynomial function has three x-intercepts,then it must have at least two points at which its tangent line ishorizontal.arrow_forward
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