document.write( "Question 116761This question is from textbook Intermediate Algebra
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document.write( ": please help me solve this equation. \n" );
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Algebra.Com's Answer #84904 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Do you want to factor this?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looking at \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now multiply the first coefficient 1 and the last coefficient 320 to get 320. Now what two numbers multiply to 320 and add to the middle coefficient -36? Let's list all of the factors of 320:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factors of 320:\r \n" ); document.write( "\n" ); document.write( "1,2,4,5,8,10,16,20,32,40,64,80,160,320\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-1,-2,-4,-5,-8,-10,-16,-20,-32,-40,-64,-80,-160,-320 ...List the negative factors as well. This will allow us to find all possible combinations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These factors pair up and multiply to 320\r \n" ); document.write( "\n" ); document.write( "1*320\r \n" ); document.write( "\n" ); document.write( "2*160\r \n" ); document.write( "\n" ); document.write( "4*80\r \n" ); document.write( "\n" ); document.write( "5*64\r \n" ); document.write( "\n" ); document.write( "8*40\r \n" ); document.write( "\n" ); document.write( "10*32\r \n" ); document.write( "\n" ); document.write( "16*20\r \n" ); document.write( "\n" ); document.write( "(-1)*(-320)\r \n" ); document.write( "\n" ); document.write( "(-2)*(-160)\r \n" ); document.write( "\n" ); document.write( "(-4)*(-80)\r \n" ); document.write( "\n" ); document.write( "(-5)*(-64)\r \n" ); document.write( "\n" ); document.write( "(-8)*(-40)\r \n" ); document.write( "\n" ); document.write( "(-10)*(-32)\r \n" ); document.write( "\n" ); document.write( "(-16)*(-20)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note: remember two negative numbers multiplied together make a positive number\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now which of these pairs add to -36? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From this list we can see that -16 and -20 add up to -36 and multiply to 320\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now looking at the expression \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now let's factor \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So this also means that \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------\r \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So |