Answer
$4x^{3}+9x^{2}-x-6$
Work Step by Step
$\text{Volume}=\text{length}\times\text{breadth}\times\text{height}$
$=(4x-3)(x+1)(x+2)$
Multiplying $4x-3$ and $x+1$ first using FOIL (First Outer Inner Last) method, we have
$=(4x^{2}+4x-3x-3)(x+2)$
$=(4x^{2}+x-3)(x+2)$
$=4x^{3}+8x^{2}+x^{2}+2x-3x-6$
$=4x^{3}+9x^{2}-x-6$
The polynomial that represents the volume of the container is $4x^{3}+9x^{2}-x-6$
