Find the polynomial function.

Degree of the function is .

Real zeros : .

.

Since the degree of the polynomial function is , it is an even function.

The leading coefficient() of the polynomial function must be negative.

Because for even and negative the end behavior of the polynomial function is and .

Let the four 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 :

.