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4 February, 10:16

Consider P (x) = x4 (x - 2) 3 (x + 1) 2. What are the zeros of the function? What is the multiplicity of each zero?

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  1. 4 February, 13:23
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    Ifthe roots are r1 and r2

    then the factored form is

    a (x-r1) (x-r2)

    so

    and multpilcty is how many times the root repeats

    P (x) = (x-0) ^4 (x-2) ^3 (x - (-1)) ^2

    so the roots are 0 multipilcty 4, 2 mupliticty 3, - 1 multplity 2
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