document.write( "Question 485920: what is the answer in quadratic factoring if the problem is 3xsquared + 32x + 48
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Algebra.Com's Answer #332271 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "3x² + 32x + 48\r\n" );
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document.write( "There is no common factor.  So we will try to factor it\r\n" );
document.write( "using the ac-method. \r\n" );
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document.write( "3x² + 32x + 48\r\n" );
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document.write( "Multiply the 3 by the 48.  Get 144\r\n" );
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document.write( "Write down all the ways to have two positive integers\r\n" );
document.write( "which have product 144, starting with 144*1\r\n" );
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document.write( "144*1\r\n" );
document.write( " 72*2\r\n" );
document.write( " 48*3\r\n" );
document.write( " 36*4\r\n" );
document.write( " 24*6\r\n" );
document.write( " 18*8\r\n" );
document.write( " 16*9\r\n" );
document.write( " 12*12\r\n" );
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document.write( "Since the last sign in 3x² + 32x + 48 is +, ADD them,\r\n" );
document.write( "and place the SUM out beside that:\r\n" );
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document.write( "144*1    144+1=145 \r\n" );
document.write( " 72*2     72+2=74 \r\n" );
document.write( " 48*3     48+3=51\r\n" );
document.write( " 36*4     36+4=40\r\n" );
document.write( " 24*6     24+6=30\r\n" );
document.write( " 18*8     18+8=26\r\n" );
document.write( " 16*9     16+9=25\r\n" );
document.write( "12*12    12+12=24 \r\n" );
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document.write( "Now we look to see if we can find in that list of\r\n" );
document.write( "sums the coefficient of the middle term in 3x² + 32x + 48\r\n" );
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document.write( "We do not find 32 in that list.  So we cannot continue\r\n" );
document.write( "with the \"ac\" method.  So we must stop here and write \r\n" );
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document.write( "\"This trinomial is prime\".\r\n" );
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document.write( "There is a lesson on the \"ac\" method of factoring at this site:\r\n" );
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document.write( "http://www.algebra.com/my/change_this_name32371.lesson?content_action=show_dev \r\n" );
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document.write( "Edwin
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