Question

Use the grouping method to factor x3 + x2 + 2x + 2.

A. (x + 1)(x + 2)
B. (x2 + 1)(x + 2)
C. x(x + 2)(x + 1)
D. (x + 1)(x2 + 2)

Answer 1

Therefore the answer is D. (x + 1)(x2 + 2)

Answer 2

D)Factors are (x +1) ( x² +2) .

Explanation:

Given : x³ + x² + 2x + 2.

To find : Use the grouping method to factor .

Solution : We have given x³ + x² + 2x + 2.

On taking common x² from first two term and 2 from last two terms.

x² ( x + 1) + 2( x +1).

On grouping.

(x +1) ( x² +2) .

Therefore, D )Factors are (x +1) ( x² +2) .