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)

D)Factors are (x +1) ( x² +2) .

Step-by-step 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) .

it's

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.