Answer
$(x^3-5x^2+2x-1) \text{ centimeters}$
Work Step by Step
Using $A=bh$ or the forumula for the area of a parallelogram, then
\begin{array}{l}\require{cancel}
A=bh
\\\\
x^4-23x^2+9x-5=(x+5)h
\\\\
\dfrac{x^4-23x^2+9x-5}{x+5}=h
.\end{array}
Using the long division method, the quotient of the expression above is shown below.
Hence, the height is $
(x^3-5x^2+2x-1) \text{ centimeters
}.$
