Respuesta :

Given:

The degree of the polynomial f is 3.

the zeros are 9 and -5-i.

We know that the degree of the polynomial = the number of zeros of the polynomial.

The number of zeros of the polynomial =3.

We have two zeros, we need to find the one zero of the given polynomial.

Recall that the complex zeros are always in pairs.

The conjugate of -5-i is

[tex]-5+i[/tex]

Hence the remaining zero of the polynomial is

[tex]-5+i[/tex]