Concept explainers
a.
Find the zeros of the polynomial function
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 39E
Explanation of Solution
Given:
Function:
Calculation:
The above polynomial function is a second degree polynomial.
So, zeroes of a second degree polynomial can be found using the formula
Conclusion:
Therefore, the zeros of given polynomial function are
b.
Write the zeros of polynomial
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 39E
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.
![Check Mark](/static/check-mark.png)
Answer to Problem 39E
2
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 | 46 |
1 | 33 |
-1 | 61 |
2 | 22 |
-2 | 78 |
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 2.
The number of real zeros of the function is equal to 2.
So, the number of real zeros and number of x-intercepts are equal to each other.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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