document.write( "Question 458846: List all of the possible rational zeros of f(x) = 3x^5 - 7x^3 + 2x - 15 \n" ); document.write( "
Algebra.Com's Answer #314752 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "f(x) = 3x⁵ - 7x³ + 2x - 15\r\n" ); document.write( "\r\n" ); document.write( "List all the factors of 15, the number on the right end \r\n" ); document.write( "of the right side, ignoring the sign for the time being:\r\n" ); document.write( "They are\r\n" ); document.write( "\r\n" ); document.write( "1, 3, 5, 15\r\n" ); document.write( "\r\n" ); document.write( "List all the factors of 3, the coefficient of of x⁵, also\r\n" ); document.write( "ignoring the sign for the time being:\r\n" ); document.write( "\r\n" ); document.write( "1, 3\r\n" ); document.write( "\r\n" ); document.write( "Now make every possible fraction you can make taking the \r\n" ); document.write( "numerator from 1, 3, 5, 15 and the denominator from 1, 3\r\n" ); document.write( "\r\n" ); document.write( "1/1, 1/3, 3/1, 3/3, 5/1, 5/3, 15/1, 15/3\r\n" ); document.write( "\r\n" ); document.write( "Simplify them:\r\n" ); document.write( "\r\n" ); document.write( "1, 1/3, 3, 1, 5, 5/3, 15, 5\r\n" ); document.write( "\r\n" ); document.write( "Throw out the duplicates:\r\n" ); document.write( "\r\n" ); document.write( "1, 1/3, 3, 5, 5/3, 15\r\n" ); document.write( "\r\n" ); document.write( "Now put ± in front of each:\r\n" ); document.write( "\r\n" ); document.write( "±1, ±1/3, ±3, ±5, ±5/3, ±15\r\n" ); document.write( "\r\n" ); document.write( "That's it!\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |