SOLUTION: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -5i and 5i

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Question 728838: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -5i and 5i
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
Wanting a degree three polynomial function and having the three roots means you can just write the factors which make the minimum function. You're already given that coefficient on x is 1.

f%28x%29=%28x%2B1%29%28x%2B5i%29%28x-5i%29
If you want, you can multiply the two complex factors to get a quadratic factor:
x%5E2-%285i%29%5E2=x%5E2%2B25, so to have f%28x%29=%28x%2B1%29%28x%5E2%2B25%29.