SOLUTION: Can someone please help me solve this problem? The volume of a rectangular prism is 6p^3+38p^2+40p. Find expressions for the possible dimensions of the prism.

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Question 1131753: Can someone please help me solve this problem? The volume of a rectangular prism is 6p^3+38p^2+40p. Find expressions for the possible dimensions of the prism.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The volume of the prism is length+%2A+width+%2A+height
The volume of a rectangular prism is 6p%5E3%2B38p%5E2%2B40p, factor it completely
6p%5E3%2B38p%5E2%2B40p
2p%283p%5E2%2B19p%2B20%29
2p%283p%5E2%2B15p%2B4p%2B20%29
2p%28%283p%5E2%2B15p%29%2B%284p%2B20%29%29
2p%283p%28p%2B5%29%2B4%28p%2B5%29%29
2+p+%283p+%2B+4%29+%28p+%2B+5%29

expressions for the possible dimensions of the prism are:
2p
%283p+%2B+4%29
%28p+%2B+5%29