document.write( "Question 1018711: Show that -4 is a zero of multiplicity two of the function y=x^4+9x^3+23x^2+8x-16. \n" ); document.write( "

Algebra.Com's Answer #634754 by josgarithmetic(39628) $\"\"$ $\"About$

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Can synthetic division by applied twice in succession and give remainder 0 for both of them?\r
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\n" ); document.write( "\n" ); document.write( "That means, using synthetic division exactly two times in succession to \"check the root, -4\", will give 0 remainder, exactly those two times.\r
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document.write( "-4   |   1    9    23    8     -16\r\n" );
document.write( "     |       -4   -20   -12     16\r\n" );
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document.write( "         1   5     3     -4     0\r\n" );
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document.write( "-4   |    1     5    3    -4\r\n" );
document.write( "     |         -4    -4    4\r\n" );
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document.write( "          1     1    -1    0\r\n" );
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document.write( "-4    |    1    1    -1\r\n" );
document.write( "      |        -4    12\r\n" );
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document.write( "           1   -3    11\r\n" );
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document.write( "-4 is a zero of the function shown at multiplicity 2.\r\n" );
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