document.write( "Question 546752: find the solution set of 12x5+5x4-2x3-96x2-40x+16=0 \n" ); document.write( "
Algebra.Com's Answer #359104 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! find the solution set of 12x5+5x4-2x3-96x2-40x+16=0 \n" ); document.write( "I assume the problem is to find the real roots or zeros of given function. \n" ); document.write( ".. \n" ); document.write( "Using the Rational Roots Theorem:\r \n" ); document.write( "\n" ); document.write( "....0....|......12........5.......-2.......-96.......-40........16 \n" ); document.write( "....1....|......12........7.........5.......-91.......-131....-115 (there is a root between 0 and 1) \n" ); document.write( "....2....|......12.......29.......56.......16.........-8..........0 (2 is a root) \n" ); document.write( "============================== \n" ); document.write( "....0....|......12.......29.......56.......16.........-8 \n" ); document.write( "....3....|......12.......65......251.....769.......2299 ( 3 is upper bound, no change in signs) \n" ); document.write( "============================== \n" ); document.write( "....0....|......12.......29.......56.......16.........-8 \n" ); document.write( "..-1....|......12.......17.......39.....-23.........15 (there is a root between 0 and -1) \n" ); document.write( "..-2....|......12.......5.........46.....-76.........144 \n" ); document.write( "..-3....|......12......-7........77....-215........637 (-3 is lower bound, alternate change in signs) \n" ); document.write( " |