Concept explainers
(a)
To find: the maximum number of x-intercepts possible for given function.
(a)
Answer to Problem 50E
There is maximum of 4 x-intercepts possible
Explanation of Solution
Given information:
Calculation:
The most intercepts possible for a 4th degree polynomial is 5.
However, this occurs when each term has a factor of x.
Example:
So there is a maximum of 4 x-intercepts possible for this function.
(b)
To find: x-intercepts are there.
(b)
Answer to Problem 50E
There are 2 x-intercepts on this graph:
Explanation of Solution
Given information:
Calculation:
Let
Replace a with
There are 2 x-intercepts on this graph:
(c)
fewer x-intercepts than the maximum number .
(c)
Answer to Problem 50E
There are fewer than the maximum number because this quartic polynomial is a difference of squares
Explanation of Solution
Given information:
Calculation:
Let
Replace a with
There are fewer than the maximum number because this quartic polynomial is a difference of squares
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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