document.write( "Question 86744: Find the polynomial of lowest degree with the given zeros:
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document.write( "1, 2. I am not understanding how to do this, Please, help. Thanks! \n" );
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Algebra.Com's Answer #62764 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Find the polynomial of lowest degree with the given zeros:\r\n" ); document.write( "1, 2. I am not understanding how to do this, Please, help. Thanks!\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Work the problem backwards.\r\n" ); document.write( "\r\n" ); document.write( "You would end up with\r\n" ); document.write( "\r\n" ); document.write( "x = 1, x = 2\r\n" ); document.write( "\r\n" ); document.write( "Before that you would have had:\r\n" ); document.write( "\r\n" ); document.write( "x - 1 = 0 and x - 2 = 0\r\n" ); document.write( "\r\n" ); document.write( "Before that you would have had\r\n" ); document.write( "\r\n" ); document.write( "(x - 1)(x - 2) = 0\r\n" ); document.write( "\r\n" ); document.write( "And before that you would have had\r\n" ); document.write( "\r\n" ); document.write( "x² - 3x + 2 = 0\r\n" ); document.write( "\r\n" ); document.write( "So the simplest polynomial of \r\n" ); document.write( "lowest degree you could have had \r\n" ); document.write( "would have been:\r\n" ); document.write( "\r\n" ); document.write( "x² - 3x + 2\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |