Concept explainers
To Find: Thenumber of possible real zeros and the number of possible real zeroes for each function and then determine the real zeroes.
Answer to Problem 7CFU
The time required is 5 sec.
Explanation of Solution
Given:
The given function is
Calculation:
Consider the given equation is,
Consider the positive and the negative values of zeroes is,
Consider the positive rational zeroes is,
Test the possible zeroes by the use of synthetic division and the remainder theorem.
Table 1
8 | -6 | -23 | 6 | |
1 | 8 | 2 | -21 | -15 |
-1 | 8 | -14 | -9 | 15 |
2 | 8 | 10 | -3 | 0 |
-2 | 8 | 10 | -3 | 0 |
-2 | 8 | -22 | 21 | -36 |
3 | 8 | -30 | 67 | -195 |
6 | 8 | 42 | 229 | 1380 |
-6 | 8 | -50 | 277 | -1656 |
8 | -2 | -24 | -6 | |
8 | -10 | 18 | -3 | |
8 | -4 | -24 | 0 | |
8 | -8 | -25 | ||
8 | -8 | -25 | ||
8 | ||||
8 | -7 | -171 | ||
8 | 6 | -14 | -15 | |
8 | -18 | 4 | 0 | |
8 | 0 | -23 | -45 | |
8 | -24.35 |
Since, the only negative real zero is
The graph for the given function is shown in Figure 1
Figure 1
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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