The volume of a rectangular prism is (x^4+4x^3+3x^2+8x+4), and the area of its base is (x^3+ 3x^2+8). if the volume of a rectangular prism is the product of its base area and height, what is the height of the prism

1) Volume = area * height => height = volume / area

2)

                  x^4 + 4x^3 + 3x^2 + 8x + 4
height =   
                           x^3 + 3x^2 + 8

That division is not exact

The result of this division is x + 1 plus a residue of - 8x^2 + 8x - 4.

It was expected an exact division, so likely some of the terms is not properly written. Now you know the procedure and can perform it with the right terms.

Where are the