The volume of a rectangular solid is (x3+3x2+2x-5) cubic cm , and its height is (x+1)cm. what is the area it's base
(x^3+3x^2+2x-5)/(x+1)
Might you have a typo? This does not divide evenly
To find the area of the base of a rectangular solid, we need to divide the volume by the height. In this case, the volume is given as (x^3 + 3x^2 + 2x - 5) cubic cm and the height is (x + 1) cm.
So, the area of the base can be calculated by dividing the volume by the height:
Area = volume / height
Area = (x^3 + 3x^2 + 2x - 5) / (x + 1)
To simplify the expression, we can perform polynomial division.
________________________________________________
(x + 1) | x^3 + 3x^2 + 2x - 5
- (x^3 + x^2)
_____________
2x^2 + 2x - 5
- (2x^2 + 2x)
_____________
-5
The polynomial division gives a remainder of -5, which means that the expression (x^3 + 3x^2 + 2x - 5) is not completely divisible by (x + 1). Therefore, the area of the base cannot be determined solely by the given information.