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 1115279: 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 4i are zeros;
f(-1)=-68
Thank you!!!
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-3%29%28x-4i%29%28x%2B4i%29
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y=a%28x-3%29%28x%5E2-16i%5E2%29
y=a%28x-3%29%28x%5E2%2B16%29
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a=y%2F%28%28x-3%29%28x%5E2%2B16%29%29
a=-68%2F%28%28-4%29%2817%29%29
a=%284%2A17%29%2F%284%2A17%29
a=1
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highlight%28y=%28x-3%29%28x%5E2%2B16%29%29
You can fully multiply that if you want.