Question

What is the complete factorization of the polynomial below x^3-2x^2+x-2

Answer 1

Answer:

(x-2)(x+i)(x-i)

Answer 2

Answer:

$(x^2+1)(x-2)$

Step-by-step explanation:

The polynomial given is:  $x^{3}-2x^{2}+x-2$

Grouping the first 2 terms together and the last 2 terms together and taking common, we have:

$x^3-2x^2+x-2\\=(x^3-2x^2)+(+x-2)\\=x^2(x-2)+1(x-2)\\=(x^2+1)(x-2)$

This is the complete factorization.