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Degree 5
Zeros 9 , -i , -4 + i
Note...the other two zeros are i and - 4 - i
So we have
(x - 9) ( x - i) ( x + i) ( x - [ -4 + i ] ) ( x - [ -4 - i ] ) =
(x - 9) (x^2 - i^2) ( x + (4 - i) ) ( x + (4 + i ) =
( x - 9) ( x^2 - [ -1] ) [ x^2 + x(4 + i) + x (4 - i) + (16 - i^2 ) ]
(x - 9) ( x^2 + 1) (x^2 + 8x + 16 - (-1) )
( x - 9) (x^2 + 1) ( x^2 + 8x + 17)
( x^3 - 9x^2 + x - 9) ( x^2 + 8x + 17)
x^5 - x^4 - 54 x^3 - 154 x^2 - 55 x - 153