Concept explainers
a.
To Find: zeros of a Polynomial function algebraically.
a.
Explanation of Solution
Given:
The equation is
Approach:
- Solve the Polynomial algebraically.
- Find the values of x.
Calculation:
Consider,
Putting the value of
Therefore, the square root of a negative number is imaginary. This suggests that this equation does not have a real zero.
b.
Use a graphing utility to graph the function.
b.
Explanation of Solution
Given:
The equation is given as
Approach:
- Draw the given equations on the graph.
Graph:
The graph of the above equations are given below
Since the above graph is not intersecting x-axis.
Therefore, the polynomial hasno real zeros.
c.
Use the graph to compare them with those from part (a).
c.
Explanation of Solution
Given:
The equation is
Approach:
- Draw the given equations on the graph.
- Compare them with the part -a.
Graph:
The graph of the above equations are given below
Therefore, the graph can verify what’s going on. Notice that the graph crossed the y-axis at
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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