SOLUTION: Hello! the volume of a box is 5p to the 4th power + 32p to the 3rd power +35p to the senond power. The height is p, and the width is p+5. What is the lenght? Pls.note: the 4t

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hello! the volume of a box is 5p to the 4th power + 32p to the 3rd power +35p to the senond power. The height is p, and the width is p+5. What is the lenght? Pls.note: the 4t      Log On

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Question 330246: Hello!
the volume of a box is 5p to the 4th power + 32p to the 3rd power +35p to the senond power. The height is p, and the width is p+5. What is the lenght?
Pls.note: the 4th, 3rd and second power are exponenet after the p.
Thank you!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the volume of a box is 5p%5E4+%2B+32p%5E3+%2B+35p%5E2+
The height is p, and the width is p+5. What is the length?
;
Find the area of the base by factoring out the height (p)
A = 5p^3 + 32p^2 + 35p
:
Divide the area by the width, (p+5) to find the length
:
we can use synthetic division for this
:
......_____________________
-5| 5 + 32 + 35 + 0
:
:
:
Results: 5p^2 + 7p is the length