SOLUTION: Geomatry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of thebotom of the box.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Geomatry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of thebotom of the box.       Log On


   



Question 93899: Geomatry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of thebotom of the box.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Geomatry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of thebotom of the box.
:
Factor x^2 + 5x + 6 to (x+3(x+2)
Let these two factors represent the length and the width of the box
:
Think of (x+5) as representing the height of the the box
:
The area is L * W
Area = (x+3)*(x+2)
FOIL this
(x^2 + 3x + 2x + 6) = (x^2 + 5x + 6) represents the area of the bottom
:
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