College Algebra Essentials
1st Edition
ISBN: 9780078035616
Author: Julie Miller
Publisher: MCG
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Question
Chapter 3.4, Problem 74PE
To determine
The zeros and multiplicities of the polynomial.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
Exercises 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.)
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
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.
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 35–42, find all real values of x for which fx0. f(x)=4x+6arrow_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 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)arrow_forward
- 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!arrow_forwardIn 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 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_forward
- In Problems 51–68, find the real zeros of f. Use the real zeros to factor f.arrow_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_forwardFor Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forward
- In Exercises 9–16, a. List all possible rational zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. 9. f(x) = x + x² - 4x – 4 10. f(x) = x - 2x² – 11x + 12 11. f(x) = 2x - 3x? - 11x + 6 12. f(x) = 2r - 5x² + x + 2 13. f(x) = x + 4x² 14. f(x) = 2r + x² - 3x + 1 3x - 6 – 15. f(x) = 2r3 + 6x2 + 5x + 2 16. flx) = x - 4x² + &r – 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_forwardIn Problems 21–32, tell the maximum number of real zeros that each polynomial function may have. Then use Descartes’ Rule of Signsto determine how many positive and how many negative zeros each polynomial function may have. Do not attempt to find the zerosarrow_forward
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