SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of it's zeros. 1+i, 2 So f(x)= ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of it's zeros. 1+i, 2 So f(x)= ?      Log On


   

Question 1024939: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of it's zeros.
1+i, 2
So f(x)= ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients with complex roots means the complex conjugate is also a root.
f%28x%29=%28x-2%29%28x-%281%2Bi%29%29%28x-%281-i%29%29
f%28x%29=%28x-2%29%28x%5E2-2x%2B2%29
f%28x%29=x%5E3-4x%5E2%2B6x-4%29