document.write( "Question 1038352: How to find a if x-2 is a factor of 2x^3-6x^2+5x+a \n" ); document.write( "
Algebra.Com's Answer #653031 by Edwin McCravy(20055)\"\" \"About 
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document.write( "x-2 is to be a factor of 2x³-6x²+5x+a\r\n" );
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document.write( "We divide either by long division or by synthetic division:\r\n" );
document.write( "and set the remainder = 0\r\n" );
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document.write( "By long division:           By synthetic division\r\n" );
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document.write( "        2x²-2x+1            2|2 -6  5  a\r\n" );
document.write( "x-2)2x³-6x²+5x+a             |   4 -4  2\r\n" );
document.write( "    2x³-4x²                   2 -2  1  a+2\r\n" );
document.write( "       -2x²+5x\r\n" );
document.write( "       -2x²+4x\r\n" );
document.write( "             x+a\r\n" );
document.write( "             x-2\r\n" );
document.write( "               a+2\r\n" );
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document.write( "Either way, the remainder is a+2.\r\n" );
document.write( "We want the remainder to be 0.\r\n" );
document.write( "So we set a+2 = 0\r\n" );
document.write( "            a = -2\r\n" );
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document.write( "Edwin
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