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x^{4}-2ix^{2}-5x^{2}+8ix+4
Multiply -1 and 2i to get -2i.
x^{4}+\left(-5-2i\right)x^{2}+8ix+4
Combine -2ix^{2} and -5x^{2} to get \left(-5-2i\right)x^{2}.