SOLUTION: Construct a fifth degree polynomial p(x) with real coefficients so that the numbers -1, 5 and 3 + i are all roots of p(x).

Question 1028749: Construct a fifth degree polynomial p(x) with real coefficients so that the numbers
-1, 5 and 3 + i are all roots of p(x).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You don't provide enough information to solve.
You need 5 roots.
You provided 4 roots (complex conjugate is also a root since coefficients are real).
You could have multiplicity of 2 for the real roots so there may be two possible solutions,

But I don't think that's the solution you're looking for.
Please repost with additional information.
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