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 :
.