Algebra
posted by Shadow on .
The volume in cubic feet of a Cd holder can be expressed as V(x)=x^3x^2+6x, the depth is 2x , factor the polynomial to find linear expression for the height and the width.  Do I just factor the x^3x^2+6x? It because I know the volume is LWH, so don't I have to subtract the depth from the volume? Thanks

volume = length x width x height
so
x^3  x^2 + 6x = (length x width) x (2x)
multiply each side by 1
x^3 + x^2  6x = (length x width) x (x2)
do either a long divsion or use synthetic division to get
x^3 + x^2  6x = (x2)(x^2 + 3x)
= (x2)(x)(x+3)
so the height is (2x) , that was given
the length is x+3
the width is x
check:
multiply x(2x)(x+3) to get x^3  x^2 + 6x