SOLUTION: Use the fact that 3i is a zero of f to find the remaining zeros: f(x)= x^4-6x^3+14x^2 -54X+45

Algebra ->  Functions -> SOLUTION: Use the fact that 3i is a zero of f to find the remaining zeros: f(x)= x^4-6x^3+14x^2 -54X+45      Log On


   

Question 1132016: Use the fact that 3i is a zero of f to find the remaining zeros: f(x)= x^4-6x^3+14x^2 -54X+45
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3i%29%28x%2B3i%29=x%5E2-%283i%29%5E2=x%5E2%2B9

Perform polynomial division, and work with the resulting quadratic quotient.

You should find the other zeros are 1 and 5.