SOLUTION: Please help me find all real zeros for this function f(x)= 2x^4+3x^3-3x^2+3x-5

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Question 607808: Please help me find all real zeros for this function
f(x)= 2x^4+3x^3-3x^2+3x-5

Found 2 solutions by lynnlo, stanbon:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
there are none

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all real zeros for this function
f(x)= 2x^4+3x^3-3x^2+3x-5
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The coefficients add up to zero, so x = 1 is a root.
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1)....2....3....-3....3....-5
.......2....5.....2....5...|..0
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-5/2)...2....0....2....|..0
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Remainder:
2x^2 + 2 = 0
x^2 + 1 = 0
x = i or x = -i
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Zeroes: 1 ; -5/2 ; i ; -i
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Cheers,
Stan H.
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