Concept explainers
To calculate: The bounds to the real zeros of polynomial function
Answer to Problem 22RE
The smaller bound is
Explanation of Solution
Given information:
The polynomial function
Formula used:
Theorem: Bounds of zeros
Let f be a polynomial function whose leading coefficient is 1.
A bound M on the real zeros of f is the smaller of the two numbers
Where
Calculation:
Consider ,
Re-writing the function we get,
The leading coefficient is 1. The degree of the polynomial function is 3.
Now,
Using the theorem we get,
The smaller of the two numbers ,
Using above information graph has been drawn:-
Chapter 4 Solutions
Precalculus Enhanced with Graphing Utilities
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