Degree 4; zeros: i, - 12+i, find the remaining zeros of f using the given information about the polynomial.

remaining zeros are - i, - 12-i

Step-by-step explanation:

Given that Degree 4; zeros: i, - 12+i

complex zeros always occurs in pairs

the conjugate of a+ib is a-ib

the another zero of a+ib is a-ib

we are given with two zeros i and - 12+i

the conjugate of 'i' is - i

the conjugate of - 12+i is - 12-i

so the other two zeros of the polynomial is

-i, - 12-i