Question

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base?

Answer 1

If you really meant that the height is x^2, then the area of the base is

15x^2 + x + 2
------------------ .
x^2

If you perform this division, you'll obtain 15 + (x+2)/(x^2).

So, again, verify your representation of the height of the prism.

Answer 2

It'd be good to have the multiple choice solutions to look at because it could be simplified.

Bx^2 = 15x^2 + x + 2
B = (15x^2 + x + 2) / x^2
or simplified like this
B = 15x^2/x^2 + x/x^2 + 2/x^2
B = 15 + 1/x + 2/x^2