SOLUTION: information is given about a polynomial f(x) whose coefficients are real numbers.find the remaining zeros of f. degree 4; zeros: i, 3+i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: information is given about a polynomial f(x) whose coefficients are real numbers.find the remaining zeros of f. degree 4; zeros: i, 3+i      Log On


   



Question 280463: information is given about a polynomial f(x) whose coefficients are real numbers.find the remaining zeros of f.
degree 4; zeros: i, 3+i

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots come in conjugate pairs.
--> (x-i)*(x+i)*(x -(3+i))*(x -(3-i)) = 0
%28x%5E2+%2B+1%29%2A%28x%5E2+-+6x+%2B+10%29+=+0
x%5E4+-+6x%5E3+%2B+11x%5E2+-6x+%2B+10+=+0