Degree 4; zeros; -4+2i; -5 multiplicity 2

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1 Answer

(x+5)²(x+4-2i)(x+4+2i)=

(x²+10x+25)(x²+8x+16+4)=

(x²+10x+25)(x²+8x+20)=

x⁴+10x³+25x²+

       8x³+80x²+200x+

              20x²+200x+500=

x⁴+18x³+125x²+400x+500 or any multiple of this quartic.     

by Top Rated User (1.1m points)

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