Step 1 :

The degree of is , the zeros are , and the multiplicity is .

Since the degree of the polynomial is , the zeros of are .

From the conjugate pair theorem, complex zeros occur in conjugate pairs.

Conjugate of is .

Since the multiplicity is , the remaining zero is .

The four zeros are .

Step 2 :

If are the zeros of the polynomial , then the polynomial function can be written as , where is the leading coefficient of the polynomial.

Consider the leading coefficient as

Hence the polynomial function is and .

Solution :

The polynomial function is and .