Question 238862
The volume in cubic inches for a fish tank with a square base and height x is given by the formula----V(x)=x^3+6x^2+9x
Find an expression for the length of a side of the square base.
:
Factor out x, (given as the height), what's left has to be the area of the base, right?
x(x^2 + 6x + 9)
;
x^2 + 6x + 9 
same as:
(x+3)^2
therefore
(x+3) = the side of the base