SOLUTION: Finding polynomial having degree and zeros: Degree: 5 Zeros: 7, -i, -6+i

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Question 962604: Finding polynomial having degree and zeros:
Degree: 5 Zeros: 7, -i, -6+i

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Finding polynomial having degree and zeros:
Degree: 5 Zeros: 7, -i, -6+i
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Complex solutions are in conjugate pairs, so the zeroes are:
6, -i, +i, -6+i, -6-i
--> (x-6)*(x-i)*(x+i)*(x+6+i)*(x+6-i)
You can do the multiplication.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Zeros: , ,
if is zero, then is zero too
if is zero, then is zero too
so, your polynomial is:










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