SOLUTION: Suppose that a polynomial function of degree 4 with rational coeficients has the given numbers as zeros. find the other zero(s). -2,3,4,1-i

Question 232033: Suppose that a polynomial function of degree 4 with rational coeficients has the given numbers as zeros. find the other zero(s).
-2,3,4,1-i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that a polynomial function of degree 4 with rational coeficients has the given numbers as zeros. find the other zero(s).
-2,3,4,1-i
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That is contradictory information.
If the coefficients are rational, 1+i would also have to be a zero.
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But that would mean the function has 5 zeroes,
and no 4th degree function can have 5 zeroes.
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Cheers,
Stan H.
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