SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and v

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and v      Log On


   



Question 1115280: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.
n=3,
-3 and 6+5i are zeros;
f(1)=200
Thank you for your help :)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x%2B3%29%28x-%286%2B5i%29%29%28x-%286-5i%29%29
Simplify this but do not yet distribute the factor, a.

Substitute for x=1 to find a.