document.write( "Question 54473: Determine the value of 'a' if (x + 2) is a factor of
\n" ); document.write( "(x³ - ax² + 7x + 10).
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Algebra.Com's Answer #36734 by Edwin McCravy(20056)\"\" \"About 
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Determine the value of 'a' if (x + 2) is a factor of \r\n" );
document.write( "(x³ - ax² + 7x + 10). \r\n" );
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document.write( "Plan\r\n" );
document.write( "1. Divide x³ - ax² + 7x + 10 synthetically by x + 2\r\n" );
document.write( "2. Set remainder = 0\r\n" );
document.write( "3. Solve for \"a\".\r\n" );
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document.write( "1.\r\n" );
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document.write( "     -2|1    -a       7      10\r\n" );
document.write( "       |     -2    2a+4  -4a-22   \r\n" );
document.write( "        1  -a-2   2a+11  -4a-12  \r\n" );
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document.write( "2. This remainder, -4a-12, must equal 0 in order that\r\n" );
document.write( "   (x + 2) be a factor, so\r\n" );
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document.write( "        -4a - 12 =  0\r\n" );
document.write( "3.           -4a = 12\r\n" );
document.write( "               a = -3\r\n" );
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document.write( "Edwin McCravy
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