Factor the expression completely over the complex numbers. x3−4x2+4x−16

asked Dec 24, 2024 111k views

3 votes

Factor the expression completely over the complex numbers.
x3−4x2+4x−16

by RaduS

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3 votes

Answer:

Hi,

Explanation:

$x^3-4x^2+4x-16\\\\=x^2(x-4)+4(x-4)\\\\=(x-4)(x^2+4)\\\\=(x-4)(x-2i)(x+2i)\\$

Frederik answered Dec 30, 2024