Concept explainers
a.
Verify the indicated factor
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation is given as
Approach:
- Find the co-factors of the polynomial.
- Check the indicating factor is a cofactor of the polynomial.
Calculation:
Consider,
The indicating factor
b.
Find the remaining factor of the polynomial.
b.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation is given as
Approach:
- Solve the polynomial.
- Find the co-factors of the polynomial.
Calculation:
Consider,
From equation (1)
Therefore, remaining factors of the polynomial are
c.
Write the complete factorization of the polynomial f(x).
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation is given as
Approach:
- Solve the polynomial.
- Write the complete factorization of the polynomial.
Calculation:
Consider,
From equation (2)
Therefore, the complete factorization of the polynomial is
d.
Find all zeros of the polynomial.
d.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation is given as
Approach:
- Find the co-factors of the polynomial.
- Find the zeros of the polynomial.
Calculation:
Consider;
From equation (2)
Therefore, the zeros of the polynomial are
e.
Confirm the results by using a graphing utility to graph the function.
e.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The equation is given as
Approach:
- Draw a graph of the polynomial.
- Check the zeros on it.
Graph:
The graph of the polynomial is shown below
All the zeros of the polynomial are shown in the above graph.
Therefore, the graphs confirm the zeros are true.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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