document.write( "Question 983908: Find all zeros of the polynomial functions. Show the process.\r
\n" ); document.write( "\n" ); document.write( "x^4 - 2x^3 + 6x^2 - 18x -27 \n" ); document.write( "

Algebra.Com's Answer #604698 by josgarithmetic(39625) $\"\"$ $\"About$

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Possible roots to try are PLUS AND MINUS OF 1,3,9,27.\r
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\n" ); document.write( "\n" ); document.write( "Use synthetic division to test.\r
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document.write( "-1    |    1    -2    6    -18    -27\r\n" );
document.write( "      |         -1    3    -9      27\r\n" );
document.write( "      |___________________________________\r\n" );
document.write( "           1    -3    9    -27     0\r\n" );
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document.write( "-1    |    1    -3    9    -27\r\n" );
document.write( "      |         -1    4    -13\r\n" );
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document.write( "           1    -4    13    -40\r\n" );
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document.write( "-3    |    1    -3    9    -27\r\n" );
document.write( "      |         -3   18    -81\r\n" );
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document.write( "           1    -6   27    -108\r\n" );
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document.write( "1     |     1    -3    9    -27\r\n" );
document.write( "      |           1    -2    7\r\n" );
document.write( "      |___________________________\r\n" );
document.write( "            1    -2    7     -20\r\n" );
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document.write( "3      |     1    -3    9    -27\r\n" );
document.write( "       |           3    0     27\r\n" );
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document.write( "             1     0    9     0\r\n" );
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\n" ); document.write( "\n" ); document.write( "So far, two roots and the quadratic binomial:
\n" ); document.write( " $\"highlight_green%28%28x%2B1%29%28x-3%29%28x%5E2%2B9%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The last two roots are imaginary, $\"x=-i%2Asqrt%283%29\"$ and $\"x=i%2Asqrt%283%29\"$ .
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