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critical  Nov 12, 2018
 #1
avatar+92608 
+2

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

 

 

cool cool cool

CPhill  Nov 12, 2018

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