SOLUTION: I am looking to find an example of a polynomial that has real coefficients, degree of 5 as well as exactly two real zeros and 2 complex (non real) zeros. So far I have came up wi

Question 630038: I am looking to find an example of a polynomial that has real coefficients, degree of 5 as well as exactly two real zeros and 2 complex (non real) zeros.
So far I have came up with x^5 + 5x - 7.
Am I on the right track? What do I do next?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I am looking to find an example of a polynomial that has real coefficients, degree of 5 as well as exactly two real zeros and 2 complex (non real) zeros.
So far I have came up with x^5 + 5x - 7.
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Those conditions cannot be met.
Each of the complex zeros has a conjugate that is also a zero.
That makes 4 complex zeros.
Adding 2 Real zeros you have a total of 6 zeros.
So the polynomial would be degree 6.
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Cheers,
Stan H.
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