SOLUTION: Find the nth-degree polynomial function with real coefficients satisfying the given conditions. n=4 5i and i are zeros f(-2)=145 f(x)=?

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Question 1155831: Find the nth-degree polynomial function with real coefficients satisfying the given conditions.
n=4
5i and i are zeros
f(-2)=145
f(x)=?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a%28x-5i%29%28x%2B5i%29%28x-i%29%28x%2Bi%29
a%28x%5E2%2B25%29%28x%5E2%2B1%29
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a%28%28-2%29%5E2%2B25%29%28%28-2%29%5E2%2B1%29=145----------------solve this for the factor, a.