What is the complete factorization of the polynomial below? x^3- 2x²+x-2
A. (x-2)(x + 1)(x - 1)
B. (x + 2)(x + 1)(x - 1)
C. (x + 2)(x - 1)(x - 1)
D. (x-2)(x - 1)(x - 1)

Let's start by rearranging this polynomial.

x^3 - 2x^2 + x - 2

x^3 + x - 2x^2 - 2

Now, factor out the common terms in the first two terms, and the second t wo terms. So we have: x(x^2 + 1) - 2(x^2 +1)

Apply the distributive property, and you have: (x-2)(x^2+1), which can't be factored further.

There's definitely something wrong with the answer choices here, or the problem itself.

Hopefully this helps!