How do you write a polynomial with zeros 8,-i, i?
This polynomial is
We can use the factored form of polynomials to write this first, then FOIL it out into the STANDARD FORM.
since the polynomial has 3 given zeroes, we can write
We do this because letting x = 8,-i, or i would mean that the polynomial becomes (with an intended name) zero.
Now we can just distribute it out.
First do the two complex zeroes
Now, just FOIL out
And we are done.