Concept explainers
To find: An integral upper bound using Upper Bound Theorem and to find an integral lower bound of the zeros using Lower Bound Theorem, of
Answer to Problem 31E
Upper bound: 1
Lower bound:
Explanation of Solution
Given information:
Calculation:
r | 1 5 -3 20 -15 | |
1 | 1 6 3 23 | 8 |
Since
Then
r | -1 5 3 20 -15 | |
1 | -1 4 7 27 | 8 |
3 | -1 2 9 47 | 126 |
5 | -1 0 3 35 | 160 |
7 | -1 -2 -11 -57 | -414 |
Since 7 produces no changes in sign in
Then
Upper bound: 1
Lower bound:
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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