document.write( "Question 674884: The volume of an outdoor pool in the shape of a rectangular prism is given by the polynomial (2a^3 + 8a^2 - 34a - 120) cubic meters. The pool is half full . The dimensions of the length and width of the base are (a +5)meters and (a-4)meters. What is the height of the water in the pool in meters \n" ); document.write( "
Algebra.Com's Answer #419461 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The volume of an outdoor pool in the shape of a rectangular prism is given by
\n" ); document.write( " the polynomial (2a^3 + 8a^2 - 34a - 120) cubic meters. The pool is half full. The dimensions of the length and width of the base are (a +5)meters and (a-4)meters.
\n" ); document.write( " What is the height of the water in the pool in meters
\n" ); document.write( ":
\n" ); document.write( "Use synthetic division
\n" ); document.write( ":
\n" ); document.write( ". . .__________________
\n" ); document.write( " -5 |2 + 8 - 34 - 120
\n" ); document.write( ":
\n" ); document.write( "I came up with 2a^2 - 2a - 24
\n" ); document.write( "Factor this to:(a-4)(2a+6)
\n" ); document.write( ":
\n" ); document.write( "we know the width = (a-4), therefore the height of the pool = (2a+6)
\n" ); document.write( ":
\n" ); document.write( "but they want the height of the water, half the height of the pool:
\n" ); document.write( " h = \"%282a%2B6%29%2F2\"
\n" ); document.write( " h = (a+3) is the height of the water \n" ); document.write( "
\n" );