document.write( "Question 462870: x^3-8x^2+11x+20\r
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Algebra.Com's Answer #317240 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "x³ - 8x² + 11x + 20\r\n" );
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document.write( "The possible rational zeros are ± the factors of 20:\r\n" );
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document.write( "±1, ±2, ±4, ±5, ±10, ±20\r\n" );
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document.write( "We will start out trying 1\r\n" );
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document.write( "1 | 1 -8  11  20\r\n" );
document.write( "  |    1  -7   4 \r\n" );
document.write( "    1 -7   4  24\r\n" );
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document.write( "No, 1 is not a zero because we got a remainder\r\n" );
document.write( "of 24, not 0.  So we will try -1\r\n" );
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document.write( "-1 | 1 -8  11  20\r\n" );
document.write( "   |   -1   9 -20 \r\n" );
document.write( "     1 -9  20   0\r\n" );
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document.write( "This time we got a zero remainder, so we have\r\n" );
document.write( "factored \r\n" );
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document.write( "x³ - 8x² + 11x + 20\r\n" );
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document.write( "as\r\n" );
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document.write( "(x + 1)(x² - 9x + 20)\r\n" );
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document.write( "The expression in the second parentheses will\r\n" );
document.write( "factor again\r\n" );
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document.write( "(x + 1)(x - 4)(x - 5)\r\n" );
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document.write( "That's it.\r\n" );
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document.write( "Edwin
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