# 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?

$x + 1 - \frac{4}{{x}^{3} + 3 {x}^{2} + 8}$
height $= x + 1 - \frac{4}{{x}^{3} + 3 {x}^{2} + 8}$