Question

A rectangular box is x feet long and x feet wide. The volume of the box is (4x8 + 3x6) cubic feet. What polynomial represents the height of the box in feet

Answer 1

\[V=lwh\]
\[4x^8+3x^6=x * x * h\]
\[4x^8+3x^6=x^2h\]
\[h=\frac{ 4x^8+3x^6 }{ x^2 }\]
\[h=\frac{ x^2(4x^6+3x^4) }{ x^2 }\]
the x^2 cancels out and you get
\[h=4x^6+ 3x^4\]

Answer 2

V=Volume
l=length
w=width
h=height