# Question #5eda4

##### 1 Answer

Sep 4, 2017

#### Explanation:

The **complex conjugate root theorem** states that if

Since the polynomial has the zeros

#f(x) = (x-3)(x-i)(x+i)#

Since

#f(x) = (x-3)(x^2 - i^2)#

#f(x) = (x-3)(x^2 + 1)#

We can expand this further.

#f(x) = x^3 + x - 3x^2 - 3#

In standard form, the function is