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| PAGE: 106 | SET: Exercises | PROBLEM: 76 |
Find the polynomial function.
Degree of the function is 
.
Real zeros : 
.
.
Since the degree of the polynomial function is 
, it is an odd function.
The leading coefficient(
) of the polynomial function must be positive.
Because for 
odd and positive the end behavior of the polynomial function is
and
.
Let the three real zeroes are 
, and 
.
Then the factors are 
, and 
.
From the given data conclude that, there are two zeros that are not real.
Let 
be a factor, because 
has no real zeros.
Thus, the polynomial function is 
.
Graph the function 
:
Graph :
The polynomial function is .
Graph of the function is :
.
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