SOLUTION: word problems again ugh! Geometry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. x + 2 is

Algebra ->  Volume -> SOLUTION: word problems again ugh! Geometry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. x + 2 is      Log On


   

Question 117930: word problems again ugh!
Geometry. The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find
the polynomial that represents the area of the bottom of the box. x + 2 is the height.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2+%2B+5x+%2B+6%29%28x+%2B+5%29 Start with the given polynomial



%28x%2B2%29%28x%2B3%29%28x+%2B+5%29 Factor x%5E2+%2B+5x+%2B+6 into %28x%2B2%29%28x%2B3%29

Remember the formula for the volume of a box is V=base%2Awidth%2Aheight. Sincex+%2B++2 is the height, then the product %28x%2B3%29%28x+%2B+5%29 is the product of the base and the width.

x%5E2%2B8x%2B15 Now foil %28x%2B3%29%28x+%2B+5%29 to get x%5E2%2B8x%2B15
So the polynomial that represents the bottom of the box is x%5E2%2B8x%2B15