SOLUTION: Q has degree 3 and zeros -5 and 1+i. find a polynomial that satisfies the given conditions.

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Question 835397: Q has degree 3 and zeros -5 and 1+i. find a polynomial that satisfies the given conditions.
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Question:
Q has degree 3 and zeros -5 and 1+i. find a polynomial that satisfies the given conditions.
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Answer:
If 1 + i is a root of Q, then its conjugate, 1 - i is also a root.
Sum of imaginary roots: (1 + i) + (1 - i) = 2
Product of imaginary roots: (1 + i)(1 - i) = 2
Quadratic Equation:

Cubic Equation: or

The polynomial function is

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