Posted by Mary on Thursday, September 22, 2011 at 7:53pm.
Review the properties of polynomials with real coefficients. If they have complex roots, the roots appear in conjugate pairs. So, since you have roots 4i and 5i, the other roots are -4i and -5i.
Recall that x^2 + a^2 = (x-ai)(x+ai)
So, your polynomial is (x^2+16)(x^2+25) = x^4 + 41x^2 + 400
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