# How do you write a polynomial function of least degree and leading coefficient 1 when the zeros are i, -3i, 3i?

##### 1 Answer

Jul 11, 2016

#### Explanation:

When we talk about the zeros of a polynomial, we can express them as

which leads to:

Expanding and collecting like terms for coefficients in the cubic

Also, we can use the form

(sum of the roots)x^2+

sum of the products of the roots, taken two at a time)x-

product of the roots

= 0.

Here, it is