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

Question 593028: I need help!!
Find a polynomial with real coefficients that has zeros: 1, 4 + i, 4 � i
Answer by solver91311(24713) (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

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

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