AnniJ423588 AnniJ423588
  • 03-11-2022
  • Mathematics
contestada

I do not understand how to tell which one should be for which multiplicity

I do not understand how to tell which one should be for which multiplicity class=

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ShreyW448169 ShreyW448169
  • 03-11-2022

Given

[tex]f(x)=8x^2(x-9)(x+5)^2[/tex]

To find the zeros of multiplicity one, multiplicity 2, multiplicity 3.

Now,

The zeros of multiplicity 1 are,

[tex]\begin{gathered} x-9=0 \\ x=9 \end{gathered}[/tex]

The zeros of multiplicity 2 are,

[tex]\begin{gathered} x=0 \\ x+5=0 \\ x=-5 \end{gathered}[/tex]

There are no zeros of multiplicity three since the polynomial has no factor to the power 3.

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