document.write( "Question 1196708: The polynomial
\n" ); document.write( "4x3 − 38x2 + 90x
\n" ); document.write( " gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner of a 9 in. × 10 in. piece of cardboard. Find the volume of a box if 2-inch squares are cut out. \n" ); document.write( "

Algebra.Com's Answer #829670 by josgarithmetic(39620) $\"\"$ $\"About$

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$\"2%289-2%2A2%29%2810-2%2A2%29\"$ , the volume in cubic inches\r
\n" ); document.write( "\n" ); document.write( " $\"2%285%29%286%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "That equal to $\"4x%5E3-38x%5E2%2B90x=2%2A5%2A6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E3-19x%5E2%2B45x=5%2A6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E3-19x%5E2%2B45x-30=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "One root is x=2, if try Rational Roots Theorem.\r
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document.write( "2    |    2    -19    45    -30\r\n" );
document.write( "     |\r\n" );
document.write( "     |           4   -30     30\r\n" );
document.write( "     |________________________________\r\n" );
document.write( "         2     -15     15      0\r\n" );
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\n" ); document.write( "So the equation can be rewritten
\n" ); document.write( " $\"%282x%5E2-15x%2B15%29%28x-2%29=0\"$
\n" ); document.write( "and general quadratic equation solution will help for roots of the quadratic factor. \n" ); document.write( "

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