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HI!!

Hello!

if 0 is a zero with "multiplicity 2" that means one factor is \(x^2\)

but 2 is also a zero that has a factor of x^2, right?

no

since 2 is a zero, one factor is \(x-2\)

since it is a zero with "multiplicity" 2 there are two of those factors, i.e. \((x-2)^2\)

do you know what "multiplicity " means here?

I believe that multiplicity is the exponent value.

Right? or am i mistaken.

yes that is right

so if \(r\) is a zero with multiplicity \(n\) then one factor is \((x-r)^n\)

Ok, that makes more sense. I don't know why I was so confused. Thank you!