SOLUTION: In expanded form, write a polynomial function of degree 3 with integer coefficients and zeros -5 and 2i. Thanks

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Question 320101: In expanded form, write a polynomial function of degree 3 with integer coefficients and zeros -5 and 2i.
Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If 2i is a root, so is its complex conjugate -2i.
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f%28x%29=A%28x%2B5%29%28x-2i%29%28x%2B2i%29
f%28x%29=A%28x%2B5%29%28x%5E2%2B4%29
f%28x%29=A%28x%28x%5E2%2B4%29%2B5%28x%5E2%2B4%29%29
f%28x%29=A%28x%5E3%2B5x%5E2%2B4x%2B20%29, where A is any non-zero integer.