SOLUTION: Hi, im really having trouble with this one question since i have missed the class this was taught. i would really appreciate the help! Question: Find a FOURTH DEGREE polynomial

Question 1054384: Hi, im really having trouble with this one question since i have missed the class this was taught. i would really appreciate the help!
Question: Find a FOURTH DEGREE polynomial f(x) with real coefficients that has roots of : -2, 1, and 3i with f(3)= -12

Thank you!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Polynomials with real solutions, if they have a complex root, they also have the complex conjugate as a root.
So since is a root, is also a root.
So forming the solution polynomial,

Solve for using the given value.

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