Question

What is the complete factorization of the polynomial below

Answer 1

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).

Answer 2

Answer:

B

Step-by-step explanation:

(x+2)(x^2+1)

=(x+2)(x+1)(x+1)