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)\"\" \"About 
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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.
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\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)
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\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)
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\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)
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