document.write( "Question 803767: Use the remainder theorem to find which of the following is not a factor of
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document.write( " x^3 + 12x^2 + 47x + 60.\r
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document.write( "a. x+5 b. x+4 c. x+3 d. x+2 \n" );
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Algebra.Com's Answer #484488 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! x^3 + 12x^2 + 47x + 60. \n" ); document.write( " \r\n" ); document.write( "a. x+5, use the opposite sign -5 \r\n" ); document.write( "\r\n" ); document.write( "Let's see if x+5 is the one that's not a factor.\r\n" ); document.write( "\r\n" ); document.write( "-5|1 12 47 60\r\n" ); document.write( " | -5 -35 -60\r\n" ); document.write( " 1 7 12 0\r\n" ); document.write( "\r\n" ); document.write( "No, that leaves a remainder of 0\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "b. x+4, use the opposite sign -4 \r\n" ); document.write( "\r\n" ); document.write( "Let's see if x+4 is the one that's not a factor.\r\n" ); document.write( "\r\n" ); document.write( "-4|1 12 47 60\r\n" ); document.write( " | -4 -32 -60\r\n" ); document.write( " 1 8 15 0\r\n" ); document.write( "\r\n" ); document.write( "No, that leaves a remainder of 0.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "c. x+3, use the opposite sign -3 \r\n" ); document.write( "\r\n" ); document.write( "Let's see if x+3 is the one that's not a factor.\r\n" ); document.write( "\r\n" ); document.write( "-3|1 12 47 60\r\n" ); document.write( " | -3 -27 -60\r\n" ); document.write( " 1 9 20 0\r\n" ); document.write( "\r\n" ); document.write( "No, that leaves a remainder of 0\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "d. x+2, use the opposite sign -2 \r\n" ); document.write( "\r\n" ); document.write( "Let's see if x+2 is the one that's not a factor.\r\n" ); document.write( "\r\n" ); document.write( "-2|1 12 47 60\r\n" ); document.write( " | -2 -24 -46\r\n" ); document.write( " 1 10 23 14\r\n" ); document.write( "\r\n" ); document.write( "Yes, that does not leave a remainder of 0,\r\n" ); document.write( "so x+2 is not a factor.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |