SOLUTION: Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, -square root 3, 1, -i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, -square root 3, 1, -i      Log On


   

Question 975171: Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, -square root 3, 1, -i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rational coefficients means complex roots come in complex conjugate pairs.
f%28x%29=%28x-0%29%28x%2Bsqrt%283%29%29%28x-1%29%28x%2Bi%29%28x-i%29