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What is the complete factorization of the polynomial function over the set of complex numbers?

 

f(x)=x^3−4x^2+4x−16

Guest Oct 2, 2018
 #1
avatar+90023 
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x^3−4x^2+4x−16      factor by grouping

 

x^2 ( x - 4)  + 4 ( x - 4)   =

 

(x - 4) (x^2 + 4)   =

 

(x - 4)  ( x + 2i) ( x - 2i)

 

 

cool cool cool

CPhill  Oct 2, 2018

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