document.write( "Question 5353: I need to solve by factoring: m^2-2m-63=0\r
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document.write( "Thanks for your help. \n" );
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Algebra.Com's Answer #3023 by jainenderkapoor(61)![]() ![]() You can put this solution on YOUR website! Hi.\r \n" ); document.write( "\n" ); document.write( "To solve the polynomial compare it with ax^2 + b x + c \r \n" ); document.write( "\n" ); document.write( "We get a = 1, b = -2, c = -63\r \n" ); document.write( "\n" ); document.write( "Sum = b = -2 \n" ); document.write( "Product = a * c = 1 * -63 = -63\r \n" ); document.write( "\n" ); document.write( "Now we have to find two numbers such that there product is -63 and their sum is -2\r \n" ); document.write( "\n" ); document.write( "Can you find the same?\r \n" ); document.write( "\n" ); document.write( "Yes --- -63 can be broken up into two parts -9 and +7 \n" ); document.write( "The product of the numbers -9 and 7 is -63 and the sum is -2\r \n" ); document.write( "\n" ); document.write( "So we get\r \n" ); document.write( "\n" ); document.write( " m^2 - 2m - 63 \n" ); document.write( " m^2 - 9m + 7m - 63 \n" ); document.write( " m (m - 9) + 7(m - 9) We have taken m common from first two terms and \n" ); document.write( " 7 common from the last two terms\r \n" ); document.write( "\n" ); document.write( " (m - 9) (m +7) (By taking out (m-9) common\r \n" ); document.write( "\n" ); document.write( "These are the required factors.\r \n" ); document.write( "\n" ); document.write( "HOPE THIS IS CLEAR TO YOU. IN CASE YOU HAVE ANY OTHER DOUBT YOU MAY CONTACT ME ON kapoorjai1@rediffmail.com ------- I AM AVAILABLE FOR ONLINE TUTORING.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |