Question 948617
Find an expression for width multiplied by height using polynomial division for {{{V/(2x+1)}}}.  In other words, L for length, w for width, h for height,
{{{wh=V/(2x+1)}}}.  You could expect wh is a factorable quadratic expression.




Polynomial Division for V/L:


__________________x^2_______-6x________8________---------------------quotient line
____________|________________________________________
____________|
____________|_____2x^3_____-11x^2______10x________8----------------dividend line
2x+1________|
____________________________________________________
__________________2x^2_____x^2
________________________________
_________________0________-12x^2______10x
__________________________-12x^2_____-6x
____________________________________________
___________________________0_________16x_________8
_____________________________________16x_________8
____________________________________________________
_____________________________________0__________0----------------shows any remainder


The division operation indicates {{{wh=x^2-6x+8}}}.


w*h, an area, may be factorable.
{{{(x-2)(x-4)=wh}}}, an area expression.


Not in any particular order, the dimensions OTHER THAN L are   (x-2)  and (x-4).