document.write( "Question 999752: The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box.\r
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Algebra.Com's Answer #617305 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "The volume of a rectangular box is \r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%286x%5E3%2B29x%5E2-7x-10%29cm%5E3\". \r
\n" ); document.write( "\n" ); document.write( "The box has a length of \"%282x%2B1%29cm\" and a width of\"+%28x%2B5%29cm\".\r
\n" ); document.write( "\n" ); document.write( " Determine the height of the box.\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%286x%5E3%2B29x%5E2-7x-10%29cm%5E3\"...since \"V%28x%29=length%2Awidth%2Aheight+\", means \"%282x%2B1%29cm\" and \"+%28x%2B5%29cm\" two of factors and the height is third factor; so,
\n" ); document.write( " factor given equation completely\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%286x%5E3%2B29x%5E2-7x-10%29cm%5E3\"...write \"29x%5E2\" as \"33x%5E2-4x%5E2\" and \"-7x\" as \"15x-22x\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=6x%5E3%2B33x%5E2-4x%5E2%2B15x-22x-10\"...group\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%286x%5E3-4x%5E2%29%2B%2833x%5E2-22x%29%2B%2815x-10%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=2x%5E2%283x%5E3-2%29%2B10x%283x-2%29%2B5%283x-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%283x-2%29+%282x%5E2%2B11x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%283x-2%29+%282x%5E2%2Bx%2B10x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%283x-2%29+%28%282x%5E2%2B10x%29%2B%28x%2B5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%283x-2%29+%282x%28x%2B5%29%2B%28x%2B5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V%28x%29=%283x-2%29+%282x%2B1%29+%28x%2B5%29\"\r
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\n" ); document.write( "\n" ); document.write( "so, the height is: \"%28x%2B5%29cm\"\r
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