# How do you write a polynomial with zeros 8,-i, i?

##### 1 Answer

Feb 11, 2016

This polynomial is

#### Explanation:

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

so

Now, just FOIL out

And we are done.