# 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?

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9
Nov 25, 2016

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

#### Explanation:

By actual division of volume by base area, we get

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

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