Answer:
( x + i)(x -i) ( x +2).
Step-by-step explanation:
Given : x³ + 2x² +x +2.
To find : complete factorization of the polynomial below.
Solution : We have given x³ + 2x² +x +2.
On taking common x² from first two terms and 1 from last two terms .
x² ( x +2) +1 (x +2).
On grouping
(x² +1) ( x +2).
Now factor of (x² +1) become ( x + i)(x -i) in complex form .
Factors are ( x + i)(x -i) ( x +2).
Therefore, ( x + i)(x -i) ( x +2).
