SOLUTION: Please help me solve and list the rational zeros of this function using the rational zeros theorem: g(x)=x^5-4x^3+2x+12
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Question 884765: Please help me solve and list the rational zeros of this function using the rational zeros theorem: g(x)=x^5-4x^3+2x+12
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me solve and list the rational zeros of this function using the rational zeros theorem: g(x)=x^5-4x^3+2x+12
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There appears to be a Real Number zero around -2.177...
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Rational zeroes would have to be a factor of 12.
There are none.
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Cheers,
Stan H.
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Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Please help me solve and list the rational zeros of this function using the rational zeros theorem: g(x)=x^5-4x^3+2x+12
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...0...|......1.....0......-4.......0.......2.......12....
...1...|......1.....1......-3......-3.....-1......11..........
...2...|......1.....2.......0........0......2........16.(2 is upper bound, all numbers≥0)
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...0...|......1.....0......-4.......0.......2.......12
..-1..|......1....-1.....-3.......3.....-1.......11
..-2..|......1.....-2.....0........0......2........8(real root between -2 and -3, change in sign)
..-3..|......1....-3......5......-15....47...-129 (-3 is lower bound, numbers alternate in sign)
...
According to my graphics program, function has one real zero,≈ -2.1773…
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