document.write( "Question 360349: Please factorise the following (Please do not use the quadratic formula)\r
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document.write( "36x squared -7x-4\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #257149 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 36x^2 - 7x - 4 \n" ); document.write( "----------- \n" ); document.write( "It will be (ax + b)*(cx + d) \n" ); document.write( "a*c = 36 \n" ); document.write( "b*d = -4 (meaning the signs are different) \n" ); document.write( "ad + bc = -7 (the odd number --> ad or bc, but not both are odd numbers. \n" ); document.write( "--> a & d are both odd OR b & c are both odd \n" ); document.write( "---------- \n" ); document.write( "You can make a table to cover all possibilities, or use the info above \n" ); document.write( "36 = 1*36 \n" ); document.write( "2*18 \n" ); document.write( "3*12 \n" ); document.write( "4*9 \n" ); document.write( "6*6 \n" ); document.write( "---- \n" ); document.write( "4 = 1*4 or 2*2 \n" ); document.write( "Try combinations: \n" ); document.write( "(3x + 2)*(12x - 2) doesn't work, no odd numbered products. \n" ); document.write( "(3x + 4)*(x - 4) --> -3x not -7x \n" ); document.write( "(4x + b)*(9x + d) \n" ); document.write( "(4x + 1)*(9x - 4) works \n" ); document.write( " \n" ); document.write( " |