1.

Underground water sump is popular in India. It is usually used for large water sump storage and can be built cheaply using cement-like materials. Underground water sump are typically chosen by people who want to save space. The water in the underground sump is not affected by extreme weather conditions. The underground sump maintain cool temperatures in both winter and summer. A builder wants to build a sump to store water in an apartment. The volume of the rectangular sump will be modelled by V(x)=x^(3)+x^(2)-4x-4. He planned in such a way that its base dimensions are (x + 1) and (x + 2) . How much he has to dig ?

Answer»

`(x+1)`
`(x-2)`
`(x-3)`
`(x+2)`

Solution :We have
`V(x)=x^(3)+x^(2)-4x-4=x^(2)(x+1)-4(x+1)`
`=(x+1) (x^(2)-4)=(x+1)(x-2) (x+2)`
If `(x+1)` and `(x+2)` are two dimension , 3rd dimension will be `(x-2)`. THUS he has to DIG `(x-2)`.
Thus (b) is correct OPTION.


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