SOLUTION: stte all of the zeros and the multiplicity m(x)=2x^4-x^3+7x^2-4x-4

Question 855993: stte all of the zeros and the multiplicity
m(x)=2x^4-x^3+7x^2-4x-4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
stte all of the zeros and the multiplicity
m(x)=2x^4-x^3+7x^2-4x-4
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Since the sum of the coefficients is zero, x = 1 is a zero::
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1)....2....-1....7....-4....-4
......2.....1....8....4...|..0
--------
-0.5)...2....1....8....4
........2....0....8...|..0
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Solve 2x^2 + 8 = 0
x^2 + 4 = 0
x = 2i or x = -2i
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Zeroes: x = 1, x = -1/2, x = 2i, x = -2i
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Cheers,
Stan H.
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