Mathematico | Mathematico

The volume of a triangular-based pyramid is known to be $8.$

The area of the base of the pyramid is given by

x^{2} + 12 x + 32

Find an expression for the height of the pyramid, giving your answer in the form

\frac{A}{p (x)} + \frac{B}{q (x)}

where $A, B$ are integers and $p, q$ are linear functions.

The volume of a pyramid is given by

\frac{1}{3} \times Area of base \times Height