SOLUTION: 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 ba

Algebra ->  Algebra  -> Volume -> SOLUTION: 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 ba      Log On

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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.
Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
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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