<PRE><B>Question 677975</B>
Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 
-4, -1, i 
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Real Number coefficients implies that -i must also be a zero.
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Ans: f(x) = (x+4)(x+1)(x-i)(x+i)
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f(x) = (x^2+5x+4)(x^2+1) = x^4 + 5x^3 + 4x^2 + x^2 + 5x + 4
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= x^4 + 5x^3 + 5x^2 + 5x + 4
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Cheers,
Stan H.
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