SOLUTION: Can u show me how to find the sum of all the complex zeroes of f(x)=x^3-x^2-x+33 Also can u show me how to find a polynominal function of degree 5 with rational coefficient ha

Question 47551: Can u show me how to find the sum of all the complex zeroes of f(x)=x^3-x^2-x+33

Also can u show me how to find a polynominal function of degree 5 with rational coefficient has negative 5,2 minus square root 3, and negative 5 minus 2i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the sum of all the complex zeroes of f(x)=x^3-x^2-x+33
Graphing shows x=-3 is a zero.
Using synthetic division find the factors:
(x+3)(x^2-4x+11)
The quadratic factor has zeroes as follows:
x=[4+-sqrt(16-4(11))]/2
Adding these complex zeroes you get 4/2 + 4/2 = 1
Cheers,
Stan H.

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