Thursday, April 25, 2013 at 3:12pm.
Find a polynomial p(x) with real coefficients having the given zeros.
6,-14, and 4+3i
4-3i must also be a root, so we have
p(x) = (p-6)(p+14)(p-(4+3i))(p-(4-3i))
= (p-6)(p+14)((p-4)^2 + 3^2)
= p^4 - 123p^3 + 872p - 2100
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