SOLUTION: What is the multiplicity of the root "x=2" for poly. x^4 - 4x^3 + 3x^2 + 4x

SOLUTION: What is the multiplicity of the root "x=2" for poly. x^4 - 4x^3 + 3x^2 + 4x - 4?

Question 1040819: What is the multiplicity of the root "x=2" for poly. x^4 - 4x^3 + 3x^2 + 4x - 4?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
hat is the multiplicity of the root "x=2" for poly.
x^4 - 4x^3 + 3x^2 + 4x - 4?
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Note:: Since the coefficients add up to zero, x = 1 is a root::
Using synthetic division::
1)....1....-4....3....4....-4
......1....-3....0....4...|..0
2)....1....-1...-2..|..0
2)....1.....1...|..0
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f(x) = (x-1)(x-2)^2(x+1)
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Answer:: The multiplicity of x = 2 is two.
Cheers,
Stan H.

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