Concept explainers
a.
To find: the location ofreal zero of polynomial function between consecutive tenths.
a.
Answer to Problem 29WE
The real zero lie between
Explanation of Solution
Given information:
The polynomial is
Calculation: to find the real zero, first find the polynomial function values,
From the above table it can be observed that the polynomial zero can be lie in between
Thus, the real zero of polynomial must be between in
b.
To find: the zero to the nearest hundredth using linear interpolation.
b.
Answer to Problem 29WE
The real zero is
Explanation of Solution
Given information:
The polynomial is
Calculation: to find the real zero, first find the polynomial function values,
From the above table it can be observed that the polynomial zero can be lie in between
Thus, the real zero of polynomial must be between in
Let
Now, to find the difference,
Thus, the real zero of polynomial is,
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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