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

The complete factorization is (x^2 + 1) (x + 2)

Step-by-step explanation:

In order to find this, we start by splitting the 4 term polynomial into two, two-term polynomials. Then we pull out the greatest common factor of each.

x^3 + 2x^2 = x^2 (x + 2)

x + 2 = 1 (x + 2)

Since the remaining parentheses are identical, we use that and the two outside to factor.

don't know the step by step but the answer for this problem on apex learning is D. (x+2) (x+i) (x-i)