<PRE><B>Question 549764</B>
Find a polynomial of degree 3 with Real Number coefficients and 
with roots 5, -2+4i 
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f(x) = (x-5)(x-(-2+4i))(x-(-2-4i))
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f(x) = (x-5)((x+2)-4i)((x+2)+4i)
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f(x) = (x-5)((x+2)^2+16)
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f(x) = (x-5)(x^2+4x+20)
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Find a polynomial of degree 4 with Real Number coefficients and
with roots 3-2i, 2+i
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f(x) = (x-(3-2i))(x-(3+2i))(x-(2+i))(x-(2-i))
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f(x) = ((x-3)^2+4)((x-2)^2+1)
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Cheers,
Stan H. 

</PRE>