document.write( "Question 1147344: If (x-2) is a factor of f(x) = 4x³-19x²+ax-14, find
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Algebra.Com's Answer #768653 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Use synthetic division to divide by x - 2\r\n" );
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document.write( "2 | 4   -19     a    -14\r\n" );
document.write( "  |       8   -22  2a-44 \r\n" );
document.write( "    4   -11  a-22  2a-58\r\n" );
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document.write( "       Remainder = 2a-58 = 0\r\n" );
document.write( "                      2a = 58\r\n" );
document.write( "                       a = 29\r\n" );
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document.write( "        Quotient = 4x²-11x+(a-22)\r\n" );
document.write( "                 = 4x²-11x+(29-22)\r\n" );
document.write( "                 = 4x²-11x+7\r\n" );
document.write( "                 = (4x-7)(x-1)\r\n" );
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document.write( "            f(x) = (x-2)(4x-7)(x-1)\r\n" );
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document.write( "            x-2 = 0;  4x-7 = 0;   x-1 = 0\r\n" );
document.write( "              x = 2;     x = 7/4;   x = 1\r\n" );
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document.write( "Edwin
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