SOLUTION: Find the nth degree polynomial function with real coefficients satisfying the given conditions. N=3;-1 and 3+2i are zeros; leading coefficient is 1.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the nth degree polynomial function with real coefficients satisfying the given conditions. N=3;-1 and 3+2i are zeros; leading coefficient is 1.       Log On


   

Question 1086641: Find the nth degree polynomial function with real coefficients satisfying the given conditions. N=3;-1 and 3+2i are zeros; leading coefficient is 1.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The factored form of the function would start as %28x%2B1%29%28x-%283%2B2i%29%29%28x-%283-2i%29%29.

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%28x%2B1%29%28x-3-2i%29%28x-3%2B2i%29
%28x%2B1%29%28%28x-3%29-2i%29%28%28x-3%29%2B2i%29
%28x%2B1%29%28%28x-3%29%5E2-4i%5E2%29
%28x%2B1%29%28x%5E2-6x%2B9%2B4%29
%28x%2B1%29%28x%5E2-6x%2B13%29---------and you can continue to do the multiplication and simplify if you want polynomial in decreasing powers of x.