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