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anonymous
 one year ago
The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=−3
Find a possible formula for P(x). I understand what multiplicity is, my question would be is that it says BOTH x=2 and x=0 have a multiplicity of 2, that doesnt make any sense to me.
anonymous
 one year ago
The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=−3 Find a possible formula for P(x). I understand what multiplicity is, my question would be is that it says BOTH x=2 and x=0 have a multiplicity of 2, that doesnt make any sense to me.

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.1if 0 is a zero with "multiplicity 2" that means one factor is \(x^2\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but 2 is also a zero that has a factor of x^2, right?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1since 2 is a zero, one factor is \(x2\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1since it is a zero with "multiplicity" 2 there are two of those factors, i.e. \((x2)^2\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1do you know what "multiplicity " means here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I believe that multiplicity is the exponent value.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right? or am i mistaken.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1so if \(r\) is a zero with multiplicity \(n\) then one factor is \((xr)^n\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, that makes more sense. I don't know why I was so confused. Thank you!
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