# How do you write a polynomial with zeros 3i, -3i, 5 and leading coefficient 1?

##### 1 Answer

Nov 17, 2016

Please see the explanation.

#### Explanation:

The leading coefficient is 1:

y = 1

Multiply by the factor corresponding to the root

Multiply by the factor corresponding to the root

Multiply by the factor corresponding to the root 5:

When we multiply an complex conjugate pair

Use the F.O.I.L. method: