College Algebra Essentials
1st Edition
ISBN: 9780078035616
Author: Julie Miller
Publisher: MCG
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Question
Chapter 5.3, Problem 41PE
To determine
To calculate: The partial fraction decomposition of the provided rational expression
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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
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)
For 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 = 2i
Chapter 5 Solutions
College Algebra Essentials
Ch. 5.1 - Skill Practice 1 Determine if the ordered pair is...Ch. 5.1 - Skill Practice 2 Solve the system by using the...Ch. 5.1 - Prob. 3SPCh. 5.1 - Prob. 4SPCh. 5.1 - Prob. 5SPCh. 5.1 - Prob. 6SPCh. 5.1 - Prob. 7SPCh. 5.1 - Prob. 8SPCh. 5.1 - Prob. 1PECh. 5.1 - Prob. 2PE
Ch. 5.1 - Prob. 3PECh. 5.1 - Prob. 4PECh. 5.1 - Prob. 5PECh. 5.1 - Prob. 6PECh. 5.1 - Prob. 7PECh. 5.1 - Prob. 8PECh. 5.1 - Prob. 9PECh. 5.1 - Prob. 10PECh. 5.1 - Prob. 11PECh. 5.1 - Prob. 12PECh. 5.1 - Prob. 13PECh. 5.1 - Prob. 14PECh. 5.1 - Prob. 15PECh. 5.1 - Prob. 16PECh. 5.1 - Prob. 17PECh. 5.1 - Prob. 18PECh. 5.1 - Prob. 19PECh. 5.1 - Objective 2: Solve Systems of Linear Equations in...Ch. 5.1 - Prob. 21PECh. 5.1 - Prob. 22PECh. 5.1 - Prob. 23PECh. 5.1 - Prob. 24PECh. 5.1 - For Exercises 21-28, solve the system of equations...Ch. 5.1 - Prob. 26PECh. 5.1 - Prob. 27PECh. 5.1 - Prob. 28PECh. 5.1 - Prob. 29PECh. 5.1 - Prob. 30PECh. 5.1 - Prob. 31PECh. 5.1 - Prob. 32PECh. 5.1 - Prob. 33PECh. 5.1 - Prob. 34PECh. 5.1 - Prob. 35PECh. 5.1 - Prob. 36PECh. 5.1 - Prob. 37PECh. 5.1 - Prob. 38PECh. 5.1 - Prob. 39PECh. 5.1 - Prob. 40PECh. 5.1 - Prob. 41PECh. 5.1 - Prob. 42PECh. 5.1 - Prob. 43PECh. 5.1 - Prob. 44PECh. 5.1 - Prob. 45PECh. 5.1 - Prob. 46PECh. 5.1 - Prob. 47PECh. 5.1 - Prob. 48PECh. 5.1 - Prob. 49PECh. 5.1 - Prob. 50PECh. 5.1 - Prob. 51PECh. 5.1 - Prob. 52PECh. 5.1 - Prob. 53PECh. 5.1 - Prob. 54PECh. 5.1 - Prob. 55PECh. 5.1 - Prob. 56PECh. 5.1 - Prob. 57PECh. 5.1 - Prob. 58PECh. 5.1 - Prob. 59PECh. 5.1 - Prob. 60PECh. 5.1 - Prob. 61PECh. 5.1 - Prob. 62PECh. 5.1 - Prob. 63PECh. 5.1 - Prob. 64PECh. 5.1 - Prob. 65PECh. 5.1 - Prob. 66PECh. 5.1 - Prob. 67PECh. 5.1 - Prob. 68PECh. 5.1 - Prob. 69PECh. 5.1 - Prob. 70PECh. 5.1 - Prob. 71PECh. 5.1 - Prob. 72PECh. 5.1 - Prob. 73PECh. 5.1 - Prob. 74PECh. 5.1 - Prob. 75PECh. 5.1 - Prob. 76PECh. 5.1 - Prob. 77PECh. 5.1 - Prob. 78PECh. 5.1 - Prob. 79PECh. 5.1 - Prob. 80PECh. 5.1 - Prob. 81PECh. 5.1 - Prob. 82PECh. 5.1 - Prob. 83PECh. 5.1 - Shelia swam 1 mi and ran 6 mi in a total of 1 hr...Ch. 5.1 - Prob. 85PECh. 5.1 - Prob. 86PECh. 5.1 - Prob. 87PECh. 5.1 - Prob. 88PECh. 5.1 - Prob. 89PECh. 5.1 - Prob. 90PECh. 5.1 - Prob. 91PECh. 5.1 - Prob. 92PECh. 5.1 - Prob. 93PECh. 5.1 - Prob. 94PECh. 5.1 - Prob. 95PECh. 5.1 - Prob. 96PECh. 5.1 - Prob. 97PECh. 5.1 - Prob. 98PECh. 5.1 - Prob. 99PECh. 5.2 - Prob. 1SPCh. 5.2 - Prob. 2SPCh. 5.2 - Prob. 3SPCh. 5.2 - Prob. 4SPCh. 5.2 - Prob. 5SPCh. 5.2 - Prob. 6SPCh. 5.2 - Prob. 7SPCh. 5.2 - Prob. 1PECh. 5.2 - Prob. 2PECh. 5.2 - Prob. 3PECh. 5.2 - Prob. 4PECh. 5.2 - Prob. 5PECh. 5.2 - Prob. 6PECh. 5.2 - Prob. 7PECh. 5.2 - Prob. 8PECh. 5.2 - Prob. 9PECh. 5.2 - Prob. 10PECh. 5.2 - Prob. 11PECh. 5.2 - Prob. 12PECh. 5.2 - Prob. 13PECh. 5.2 - Prob. 14PECh. 5.2 - Prob. 15PECh. 5.2 - Prob. 16PECh. 5.2 - Prob. 17PECh. 5.2 - Prob. 18PECh. 5.2 - Prob. 19PECh. 5.2 - Prob. 20PECh. 5.2 - Prob. 21PECh. 5.2 - Prob. 22PECh. 5.2 - Prob. 23PECh. 5.2 - Prob. 24PECh. 5.2 - Prob. 25PECh. 5.2 - Prob. 26PECh. 5.2 - Prob. 27PECh. 5.2 - Prob. 28PECh. 5.2 - Prob. 29PECh. 5.2 - Prob. 30PECh. 5.2 - Prob. 31PECh. 5.2 - Prob. 32PECh. 5.2 - Prob. 33PECh. 5.2 - Prob. 34PECh. 5.2 - Prob. 35PECh. 5.2 - Prob. 36PECh. 5.2 - Prob. 37PECh. 5.2 - Prob. 38PECh. 5.2 - Prob. 39PECh. 5.2 - Prob. 40PECh. 5.2 - Prob. 41PECh. 5.2 - Prob. 42PECh. 5.2 - Prob. 43PECh. 5.2 - Prob. 44PECh. 5.2 - Prob. 45PECh. 5.2 - Prob. 46PECh. 5.2 - Prob. 47PECh. 5.2 - Prob. 48PECh. 5.2 - Prob. 49PECh. 5.2 - Prob. 50PECh. 5.2 - Prob. 51PECh. 5.2 - Prob. 52PECh. 5.2 - Prob. 53PECh. 5.2 - Prob. 54PECh. 5.2 - Prob. 55PECh. 5.2 - Prob. 56PECh. 5.2 - Prob. 57PECh. 5.2 - Prob. 58PECh. 5.2 - Prob. 59PECh. 5.2 - Prob. 60PECh. 5.2 - Prob. 61PECh. 5.2 - Prob. 62PECh. 5.2 - Prob. 63PECh. 5.2 - Prob. 64PECh. 5.2 - Prob. 65PECh. 5.2 - Prob. 66PECh. 5.2 - Prob. 67PECh. 5.2 - Prob. 68PECh. 5.2 - Prob. 69PECh. 5.2 - Prob. 70PECh. 5.3 - Prob. 1SPCh. 5.3 - Prob. 2SPCh. 5.3 - Prob. 3SPCh. 5.3 - Prob. 4SPCh. 5.3 - Prob. 5SPCh. 5.3 - Prob. 6SPCh. 5.3 - Prob. 1PECh. 5.3 - Prob. 2PECh. 5.3 - Prob. 3PECh. 5.3 - Prob. 4PECh. 5.3 - Prob. 5PECh. 5.3 - Prob. 6PECh. 5.3 - Prob. 7PECh. 5.3 - Prob. 8PECh. 5.3 - Concept Connections When setting up a partial...Ch. 5.3 - Prob. 10PECh. 5.3 - Prob. 11PECh. 5.3 - Prob. 12PECh. 5.3 - Prob. 13PECh. 5.3 - Prob. 14PECh. 5.3 - Prob. 15PECh. 5.3 - Prob. 16PECh. 5.3 - Prob. 17PECh. 5.3 - Prob. 18PECh. 5.3 - Prob. 19PECh. 5.3 - Prob. 20PECh. 5.3 - Prob. 21PECh. 5.3 - Prob. 22PECh. 5.3 - Prob. 23PECh. 5.3 - Prob. 24PECh. 5.3 - Prob. 25PECh. 5.3 - Prob. 26PECh. 5.3 - Prob. 27PECh. 5.3 - Prob. 28PECh. 5.3 - Prob. 29PECh. 5.3 - Prob. 30PECh. 5.3 - Prob. 31PECh. 5.3 - Prob. 32PECh. 5.3 - Prob. 33PECh. 5.3 - Prob. 34PECh. 5.3 - Prob. 35PECh. 5.3 - Prob. 36PECh. 5.3 - Prob. 37PECh. 5.3 - Prob. 38PECh. 5.3 - Prob. 39PECh. 5.3 - Prob. 40PECh. 5.3 - Prob. 41PECh. 5.3 - Prob. 42PECh. 5.3 - Prob. 43PECh. 5.3 - Prob. 44PECh. 5.3 - Prob. 45PECh. 5.3 - Prob. 46PECh. 5.3 - Prob. 47PECh. 5.3 - Prob. 48PECh. 5.3 - Prob. 49PECh. 5.3 - Prob. 50PECh. 5.3 - Prob. 51PECh. 5.3 - Prob. 52PECh. 5.3 - Prob. 53PECh. 5.3 - Prob. 54PECh. 5.3 - Prob. 55PECh. 5.3 - Prob. 56PECh. 5.3 - Prob. 57PECh. 5.3 - Prob. 58PECh. 5.3 - Prob. 59PECh. 5.3 - Prob. 60PECh. 5.3 - Prob. 61PECh. 5.3 - Prob. 62PECh. 5.4 - Prob. 1SPCh. 5.4 - Prob. 2SPCh. 5.4 - Prob. 3SPCh. 5.4 - Prob. 4SPCh. 5.4 - Prob. 5SPCh. 5.4 - Prob. 1PECh. 5.4 - Prob. 2PECh. 5.4 - Prob. 3PECh. 5.4 - Prob. 4PECh. 5.4 - Prob. 5PECh. 5.4 - Prob. 6PECh. 5.4 - Prob. 7PECh. 5.4 - Prob. 8PECh. 5.4 - Prob. 9PECh. 5.4 - Prob. 10PECh. 5.4 - Prob. 11PECh. 5.4 - Prob. 12PECh. 5.4 - Prob. 13PECh. 5.4 - Prob. 14PECh. 5.4 - Prob. 15PECh. 5.4 - Prob. 16PECh. 5.4 - Prob. 17PECh. 5.4 - Prob. 18PECh. 5.4 - Prob. 19PECh. 5.4 - Prob. 20PECh. 5.4 - Prob. 21PECh. 5.4 - Prob. 22PECh. 5.4 - Prob. 23PECh. 5.4 - Prob. 24PECh. 5.4 - Prob. 25PECh. 5.4 - Prob. 26PECh. 5.4 - Prob. 27PECh. 5.4 - Prob. 28PECh. 5.4 - Prob. 29PECh. 5.4 - Prob. 30PECh. 5.4 - Prob. 31PECh. 5.4 - Prob. 32PECh. 5.4 - Prob. 33PECh. 5.4 - Prob. 34PECh. 5.4 - Prob. 35PECh. 5.4 - Prob. 36PECh. 5.4 - Prob. 37PECh. 5.4 - Prob. 38PECh. 5.4 - Prob. 39PECh. 5.4 - Prob. 40PECh. 5.4 - Prob. 41PECh. 5.4 - Prob. 42PECh. 5.4 - Prob. 43PECh. 5.4 - Prob. 44PECh. 5.4 - Prob. 45PECh. 5.4 - Objective 3: Use Nonlinear Systems of Equations to...Ch. 5.4 - Prob. 47PECh. 5.4 - Objective 3: Use Nonlinear Systems of Equations to...Ch. 5.4 - Prob. 49PECh. 5.4 - Prob. 50PECh. 5.4 - Prob. 51PECh. 5.4 - Prob. 52PECh. 5.4 - Prob. 53PECh. 5.4 - Prob. 54PECh. 5.4 - Prob. 55PECh. 5.4 - Prob. 56PECh. 5.4 - Prob. 57PECh. 5.4 - Prob. 58PECh. 5.4 - Prob. 59PECh. 5.4 - Prob. 60PECh. 5.4 - Prob. 61PECh. 5.4 - Prob. 62PECh. 5.4 - Prob. 63PECh. 5.4 - Prob. 64PECh. 5.4 - Prob. 65PECh. 5.4 - Prob. 66PECh. 5.4 - Prob. 67PECh. 5.4 - Prob. 68PECh. 5.4 - Prob. 69PECh. 5.4 - Prob. 70PECh. 5.4 - Prob. 71PECh. 5.4 - Prob. 72PECh. 5.4 - Prob. 73PECh. 5.4 - Prob. 74PECh. 5.4 - Prob. 75PECh. 5.4 - Prob. 76PECh. 5.4 - Prob. 77PECh. 5.4 - Prob. 78PECh. 5.4 - Prob. 79PECh. 5.4 - Prob. 80PECh. 5.5 - Prob. 1SPCh. 5.5 - Prob. 2SPCh. 5.5 - Prob. 3SPCh. 5.5 - Prob. 4SPCh. 5.5 - Prob. 5SPCh. 5.5 - Prob. 6SPCh. 5.5 - Prob. 7SPCh. 5.5 - Prob. 1PECh. 5.5 - Prob. 2PECh. 5.5 - Prob. 3PECh. 5.5 - Prob. 4PECh. 5.5 - Prob. 5PECh. 5.5 - Prob. 6PECh. 5.5 - Prob. 7PECh. 5.5 - Prob. 8PECh. 5.5 - Prob. 9PECh. 5.5 - Prob. 10PECh. 5.5 - Prob. 11PECh. 5.5 - Prob. 12PECh. 5.5 - Prob. 13PECh. 5.5 - Prob. 14PECh. 5.5 - Prob. 15PECh. 5.5 - Prob. 16PECh. 5.5 - Prob. 17PECh. 5.5 - Prob. 18PECh. 5.5 - Prob. 19PECh. 5.5 - Prob. 20PECh. 5.5 - Prob. 21PECh. 5.5 - Prob. 22PECh. 5.5 - Prob. 23PECh. 5.5 - Prob. 24PECh. 5.5 - Prob. 25PECh. 5.5 - Prob. 26PECh. 5.5 - Prob. 27PECh. 5.5 - Prob. 28PECh. 5.5 - Prob. 29PECh. 5.5 - Prob. 30PECh. 5.5 - Prob. 31PECh. 5.5 - Prob. 32PECh. 5.5 - Prob. 33PECh. 5.5 - Prob. 34PECh. 5.5 - Prob. 35PECh. 5.5 - Prob. 36PECh. 5.5 - Prob. 37PECh. 5.5 - Prob. 38PECh. 5.5 - Prob. 39PECh. 5.5 - Prob. 40PECh. 5.5 - Prob. 41PECh. 5.5 - Prob. 42PECh. 5.5 - Prob. 43PECh. 5.5 - Prob. 44PECh. 5.5 - Prob. 45PECh. 5.5 - Prob. 46PECh. 5.5 - Prob. 47PECh. 5.5 - Prob. 48PECh. 5.5 - Prob. 49PECh. 5.5 - Prob. 50PECh. 5.5 - Prob. 51PECh. 5.5 - Prob. 52PECh. 5.5 - Prob. 53PECh. 5.5 - Prob. 54PECh. 5.5 - Prob. 55PECh. 5.5 - Prob. 56PECh. 5.5 - Prob. 57PECh. 5.5 - Prob. 58PECh. 5.5 - Prob. 59PECh. 5.5 - Prob. 60PECh. 5.5 - Prob. 61PECh. 5.5 - Prob. 62PECh. 5.5 - Prob. 63PECh. 5.5 - Prob. 64PECh. 5.5 - Prob. 65PECh. 5.5 - Prob. 66PECh. 5.5 - Prob. 67PECh. 5.5 - Prob. 68PECh. 5.5 - Prob. 69PECh. 5.5 - Prob. 70PECh. 5.5 - Prob. 71PECh. 5.5 - Prob. 72PECh. 5.5 - Prob. 73PECh. 5.5 - Prob. 74PECh. 5.5 - Prob. 75PECh. 5.5 - Prob. 76PECh. 5.5 - Prob. 77PECh. 5.5 - Prob. 78PECh. 5.5 - Prob. 79PECh. 5.5 - A coordinate system is placed at the center of a...Ch. 5.5 - Prob. 81PECh. 5.5 - Prob. 82PECh. 5.5 - Prob. 83PECh. 5.5 - Prob. 84PECh. 5.5 - Prob. 85PECh. 5.5 - Prob. 86PECh. 5.5 - Prob. 87PECh. 5.5 - Prob. 88PECh. 5.6 - Prob. 1SPCh. 5.6 - Prob. 2SPCh. 5.6 - Prob. 3SPCh. 5.6 - Prob. 4SPCh. 5.6 - Prob. 1PECh. 5.6 - Prob. 2PECh. 5.6 - Prob. 3PECh. 5.6 - Prob. 4PECh. 5.6 - Prob. 5PECh. 5.6 - Prob. 6PECh. 5.6 - Prob. 7PECh. 5.6 - Prob. 8PECh. 5.6 - Concept Connections The process that maximizes or...Ch. 5.6 - Prob. 10PECh. 5.6 - Prob. 11PECh. 5.6 - Prob. 12PECh. 5.6 - Prob. 13PECh. 5.6 - Prob. 14PECh. 5.6 - Prob. 15PECh. 5.6 - Prob. 16PECh. 5.6 - Prob. 17PECh. 5.6 - Prob. 18PECh. 5.6 - Prob. 19PECh. 5.6 - Prob. 20PECh. 5.6 - Prob. 21PECh. 5.6 - Prob. 22PECh. 5.6 - Prob. 23PECh. 5.6 - Prob. 24PECh. 5.6 - Prob. 25PECh. 5.6 - Prob. 26PECh. 5.6 - Prob. 27PECh. 5.6 - Prob. 28PECh. 5.6 - Prob. 29PECh. 5.6 - Prob. 30PECh. 5.6 - Prob. 31PECh. 5.6 - Prob. 32PECh. 5.6 - Prob. 33PECh. 5.6 - Prob. 34PECh. 5.6 - A manufacturer produces two models of a gas grill....Ch. 5.6 - Prob. 36PECh. 5.6 - Prob. 37PECh. 5.6 - Prob. 38PECh. 5.6 - Prob. 39PECh. 5.6 - Prob. 40PECh. 5.6 - Prob. 41PECh. 5.6 - Prob. 42PECh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - 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