SOLUTION: I have been trying to figure this out for days and I am stuck! The question is: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as

Question 694244: I have been trying to figure this out for days and I am stuck! The question is: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 5-i,square root of 17
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You need to also have as zeros the conjugates of those numbers: and .
That way, when you multiply factors involving conjugates, the irrational/imaginary parts cancel out.
Your polynomial must be of grade 4, and the one with a leading coefficient of can be calculated as:
.
I left the last multiplication for you to do.
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