document.write( "Question 277985: factor trinomials 30+17a-20a^2 \n" ); document.write( "
Algebra.Com's Answer #202328 by Edwin McCravy(20060)\"\" \"About 
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document.write( "\"30%2B17a-20a%5E2\"\r\n" );
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document.write( "Multiply the 30 by the -20, getting -600\r\n" );
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document.write( "Write down all the products of two integers which gives 600\r\n" );
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document.write( "600*1\r\n" );
document.write( "300*2\r\n" );
document.write( "100*3\r\n" );
document.write( "150*4\r\n" );
document.write( "120*5\r\n" );
document.write( "100*6\r\n" );
document.write( " 75*8\r\n" );
document.write( " 60*10\r\n" );
document.write( " 50*12\r\n" );
document.write( " 40*15 \r\n" );
document.write( " 30*20\r\n" );
document.write( " 25*24\r\n" );
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document.write( "Now out beside all those write their difference, \r\n" );
document.write( "since -600 is negative. (If it had been positive\r\n" );
document.write( "we would have found ther sum)\r\n" );
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document.write( "600*1      600-1 = 599\r\n" );
document.write( "300*2      300-2 = 298 \r\n" );
document.write( "100*3      100-3 = 97 \r\n" );
document.write( "150*4      150-4 = 146\r\n" );
document.write( "120*5      120-5 = 115 \r\n" );
document.write( "100*6      100-6 = 94\r\n" );
document.write( " 75*8       75-8 = 67\r\n" );
document.write( " 60*10     60-10 = 50\r\n" );
document.write( " 50*12     50-12 = 38\r\n" );
document.write( " 40*15     40-15 = 25\r\n" );
document.write( " 30*20     30-20 = 10\r\n" );
document.write( " 25*24     25-24 = 1\r\n" );
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document.write( "Notice that the coefficient of the middle term, 17,\r\n" );
document.write( "in absolute value, does not appear in the column of \r\n" );
document.write( "differences above. Therefore the trinomial does not factor.\r\n" );
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document.write( "Edwin

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