
Concept explainers
a.
Find the zeros of the polynomial function
a.

Answer to Problem 43E
Explanation of Solution
Given:
Function:
Calculation:
To find the roots of given function, put
Conclusion:
Therefore, the zeros of given polynomial function are
b.
Write the zeros of polynomial
b.

Answer to Problem 43E
Explanation of Solution
Given:
Function:
Calculation:
From above answer, the zeros of given function are
Now, writing the given function as product of linear factors,
c.
Determine the x-intercepts of polynomial
c.

Answer to Problem 43E
0
Explanation of Solution
Given:
Function:
Calculation:
Factorization of given function is
To find x-intercepts, put
Hence, the x-intercepts are
Calculation for graph:
Consider
Values of x | Values of f (x) |
0 | 144 |
1 | 170 |
-1 | 170 |
2 | 260 |
-2 | 260 |
By taking different values of x, the graph can be plotted.
Graph:
Interpretation:
From graph, it is clear that, the number of x-intercepts is equal to 0.
The number of real zeros of the function is equal to 0.
So, the number of real zeros and number of x-intercepts are equal to each other.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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