document.write( "Question 44508: Solve the problem\r
\n" ); document.write( "\n" ); document.write( "The volume of a box is $\"2p%5E4++%2B+17p%5E3++%2B+21p%5E2\"$ . The height is p, and the width is p + 7. What is the length? \n" ); document.write( "

Algebra.Com's Answer #29386 by atif.muhammad(135) $\"\"$ $\"About$

You can put this solution on YOUR website!

The volume of a box is . The height is p, and the width is p + 7. What is the length?\r\n" );
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document.write( "Volume = length x width x height\r\n" );
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document.write( "2p^4  + 17p^3  + 21p^2 = length x (p+7) x p\r\n" );
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document.write( "2p^4  + 17p^3  + 21p^2 = length x (p^2 + 7p)\r\n" );
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document.write( "length = \r\n" );
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document.write( "length = \r\n" );
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document.write( "             ___2p^3+_3p^2____________\r\n" );
document.write( "      p+7 ) 2p^4  + 17p^3  + 21p^2\r\n" );
document.write( "               2p^4  + 14p^3\r\n" );
document.write( "              ________________\r\n" );
document.write( "                              3p^3   + 21p^2\r\n" );
document.write( "                              3p^3   + 21p^2\r\n" );
document.write( "                              _______________\r\n" );
document.write( "                                                  0\r\n" );
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document.write( "length =  = 2p^3 + 3p^2 = p^2(2p+3)\r\n" );
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document.write( "Hope that helps!\r\n" );
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