# How do you write a polynomial with zeros 2, -2, -6i and leading coefficient 1?

##### 1 Answer

#### Answer:

Identify the four (not three) zeroes and write out the zeroes in factored form. Answer:

#### Explanation:

Original question: Find polynomial with zeroes

We know that each complex zero must have a pair that is also a complex zero, which is its conjugate. Therefore, if

We also know that zeroes of a polynomial come in the form

Now, we can write out the expanded form by using the fact that

Note that

Combining like-terms, we get: