document.write( "Question 1051365: Find all solutions to the equation.
\n" ); document.write( "x^3+x^2-14x-24=0 \n" ); document.write( "

Algebra.Com's Answer #666895 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "Find all solutions to the equation.
\n" ); document.write( "x^3+x^2-14x-24=0
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\n" ); document.write( "\n" ); document.write( "Since the coefficients of the equation are integer numbers and since the leading coefficient is 1,
\n" ); document.write( "the rational solutions (if they exist) must be integer numbers among the divisors of the constant term.\r
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\n" ); document.write( "\n" ); document.write( "So, you need to check for zeroes all integer divisors of the constant term 24:\r
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\n" ); document.write( "\n" ); document.write( "1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24.\r
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document.write( "I did it using Excel in my computer.\r\n" );
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document.write( " x      f(x)\r\n" );
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document.write( " 1	-36\r\n" );
document.write( "-1	-10\r\n" );
document.write( " 2	-40\r\n" );
document.write( "-2	 0\r\n" );
document.write( " 3	-30\r\n" );
document.write( "-3	 0\r\n" );
document.write( " 4	 0\r\n" );
document.write( "-4	-16\r\n" );
document.write( " 6	 144\r\n" );
document.write( "-6	-120\r\n" );
document.write( " 8	 440\r\n" );
document.write( "-8	-360\r\n" );
document.write( " 12	 1680\r\n" );
document.write( "-12	-1440\r\n" );
document.write( " 24	 14040\r\n" );
document.write( "-24	-12936\r\n" );
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document.write( "The zeroes are  -3, -2, 4.\r\n" );
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