Question

What are the other two zeros of a 4th degree polynomial if two of the zeros are

i and 15+i ??

Answer 1

their conjuages
\[-i, 15-i\]

Answer 2

the other two roots are complex conjugates -i and 15 - i hence, the polynomial is (x+i)(x-i)(x-15-i)(x-15+i) \[(x ^{2}+1)(x ^{2}-30x+226)\]