# What is a fourth degree polynomial function with real coefficients that has 2, -2 and -3i as zeros?

##### 1 Answer

Feb 6, 2016

#### Answer:

#### Explanation:

If

it will have

If

then

and we will need to use a fourth factor to "clear" the imaginary component from the coefficients.

(Remember we were told the polynomial was of degree 4 and has no imaginary components).

The most obvious fourth factor would be the complex conjugate of

and since

which can be expanded to: