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# 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?

## x+1-4/(x^3+3x^2+8)##

By actual division of volume by base area, we get

height ##= x+1-4/(x^3+3x^2+8)##