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24 March, 07:24

What is the multiplicity of the root 2 in the equation x^3-8x^2+20x-16=0?

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  1. 24 March, 07:49
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    Factoring the cubic you get: (x - 2) ^2 (x-4), so we know the multiplicity is the amount of times a root shows in an equation because the equation (x-2) has a exponent of 2 that means the root 2 has a multiplicity of 2.

    Answer: 2
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