- #1

jcsolis

- 38

- 1

## Homework Statement

find a polynomial of degree 5 whose coefficients are that has the zeros: 0, -2

*i*, 2+

*i*

## Homework Equations

none

## The Attempt at a Solution

I know that the two remaining zeros are: 2

*i*and 2-

*i*

the factors are:

x

x-2

*i*

x+2

*i*

x-2-

*i*

x-2+

*i*

After expand all the factors I fininshed with this answer:

f(x)= x^5 - 4x^4 + 9x^3 - 16x^2 + 20x

can somebody check if my work is OK?