- #1
jcsolis
- 38
- 1
Homework Statement
find a polynomial of degree 5 whose coefficients are that has the zeros: 0, -2i, 2+i
Homework Equations
none
The Attempt at a Solution
I know that the two remaining zeros are: 2i and 2-i
the factors are:
x
x-2i
x+2i
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?