SOLUTION: I need help!! Find a polynomial with real coefficients that has zeros: 1, 4 + i, 4 – i

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Question 593028: I need help!!
Find a polynomial with real coefficients that has zeros: 1, 4 + i, 4 – i

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is a zero of a polynomial with real coefficients in , then is a factor of the polynomial. With that in mind:



is the fully factored polynomial. All you need to do is multiply it out. Hint for less confusing algebra: Treat and as binomials with the complex number constants as single terms. Remember that the product of a conjugate pair of complex numbers is the SUM of two squares.

John

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