
Concept explainers
a.
To verify whether
a.

Answer to Problem 57E
Factor
Explanation of Solution
Given:
Function:
Factor:
Calculation:
Verifying whether
Step 1: Writing coefficients of polynomial function on the right side and value of constant of factor with opposite sign on the left side.
Step 2: Now, adding terms in columns and multiplying the results by
Here, the remainder is zero, it means that
Conclusion:
Therefore,
b.
Find the remaining factors of the function
b.

Answer to Problem 57E
Explanation of Solution
Given:
Function:
Calculation:
From above answer, the quotient is
Hence,
Conclusion:
Therefore,
c.
Write the complete factorization of function
c.

Answer to Problem 57E
Explanation of Solution
Given:
Function:
Calculation:
From above answers, the complete factorization of given polynomial function is
Conclusion:
Therefore,
d.
Find the zeros of the function
d.

Answer to Problem 57E
Explanation of Solution
Given:
Function:
Calculation:
To find the zeros, put
Calculation for graph:
Consider
Values of x | Values of f (x) |
0 | 6 |
1 | -8 |
-1 | 24 |
2 | 0 |
-2 | 28 |
By taking different values of x, the graph can be plotted.
Graph:
Interpretation:
By observing graph, it is clear that the curve of the function meets x-axis at
Hence, the zeros of the function are
Conclusion:
Therefore, the zeros of given polynomial function are
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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