document.write( "Question 76487: The following trinomial is in the form ax^2 + bx + c. Find the two integers that have a product of ac and a sum of b. Do not factor the trinomials.\r
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document.write( "15t^2 - 17t - 4 \n" );
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Algebra.Com's Answer #54855 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The following trinomial is in the form ax^2 + bx + c.\r\n" ); document.write( "Find the two integers that have a product of ac and \r\n" ); document.write( "a sum of b. Do not factor the trinomials. \r\n" ); document.write( "\r\n" ); document.write( "15t^2 - 17t - 4\r\n" ); document.write( "\r\n" ); document.write( "Here a = 15, b = -17, c = -4\r\n" ); document.write( "\r\n" ); document.write( "ac = (15)(-4) = -60\r\n" ); document.write( "\r\n" ); document.write( "You are to find two integers such that if you multiply \r\n" ); document.write( "them together you get -60, and if you add them you \r\n" ); document.write( "get -17.\r\n" ); document.write( "\r\n" ); document.write( "So you write down all the pairs of integers that have \r\n" ); document.write( "product -60, and then check to see if their sum is -17:\r\n" ); document.write( "\r\n" ); document.write( "+1 and -60, their product is -60 and their sum is -59\r\n" ); document.write( "-1 and +60, their product is -60 and their sum is +59\r\n" ); document.write( "+2 and -30, their product is -60 and their sum is -28\r\n" ); document.write( "-2 and +30, their product is -60 and their sum is +28 \r\n" ); document.write( "+3 and -20, their product is -60 and their sum is -17\r\n" ); document.write( "-3 and +20, their product is -60 and their sum is +17\r\n" ); document.write( "+4 and -15, their product is -60 and their sum is -11\r\n" ); document.write( "-4 and +15, their product is -60 and their sum is +11 \r\n" ); document.write( "+5 and -12, their product is -60 and their sum is -7\r\n" ); document.write( "-5 and +12, their product is -60 and their sum is +7\r\n" ); document.write( "+6 and -10, their product is -60 and their sum is -4\r\n" ); document.write( "-6 and +10, their product is -60 but their sum is +4 \r\n" ); document.write( "\r\n" ); document.write( "It's the case colored red above, +3 and -20. I could\r\n" ); document.write( "have quit when I got to that pair of integers, but I \r\n" ); document.write( "thought I'd go ahead and list them all so you could \r\n" ); document.write( "see how to.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |