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

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

Algebra.Com

Question 728838: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -5i and 5i
Answer by josgarithmetic(39630) (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.

If you want, you can multiply the two complex factors to get a quadratic factor:
, so to have .
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