Factors! Please help me with this question.

[ENPT808]

First question is:
Find a polynomial function of lease degree having only real coefficients, a leading coefficient of 1 and zeros of 1-i and 5-2i.

The polynomial function is f(x)=


The second question is:
Factor f(x) into linear factors given that k is a zero of f(x),

F(x)=x³+(14-5i)x²+(45-70i)x-225i; k=5i

In complete factored form, f(x)=

 

[daon2]

If a polynomial has only real coefficients then complex roots come in conjugate pairs.

If you want any more help than that you'll need to tell us why you're having trouble and show us some work.