document.write( "Question 1185191: Explain the difference between using the remainder theorem and synthetic division when P(x) is divided by (x-r) \n" ); document.write( "
Algebra.Com's Answer #815964 by Edwin McCravy(20056)\"\" \"About 
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document.write( "We use synthetic division when we employ the remainder theorem.\r\n" );
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document.write( "The remainder theorem states that when we perform a synthetic division, \r\n" );
document.write( "like this,\r\n" );
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document.write( "r |@ @ @ @ @\r\n" );
document.write( "  |  @ @ @ @\r\n" );
document.write( "   @ @ @ @ Remainder\r\n" );
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document.write( "that the remainder is the same value that we would get if we substituted\r\n" );
document.write( "r into the polynomial P(x), and got P(r).  It is easier to use synthetic\r\n" );
document.write( "division than to substitute r into the polynomial.  But we will get the same\r\n" );
document.write( "value regardless of which we do. \r\n" );
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document.write( "When we use synthetic division to divide the polynomial P(x) by (x-r) we get\r\n" );
document.write( "the coefficients of the quotient across the bottom of the synthetic division\r\n" );
document.write( "and the remainder is the last number on the bottom right.\r\n" );
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document.write( "Edwn

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