SOLUTION: What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x^3−5x^2+4x−20

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Question 1124421: What is the complete factorization of the polynomial function over the set of complex numbers?
f(x)=x^3−5x^2+4x−20

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
x^3 - 5x^2 + 4x - 20 = (factorize; start grouping) = 


= (x^3 - 5x^2) + (4x - 20) = x^2*(x-5) + 4*(x-5) = (x^2 + 4)*(x-5).

Solved.