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I know this is a very basic question, but, givin the function 1/(z-w)^4

does this have one pole of order 4, or possibly 4 poles of order 1...?

Also, could you please clarify,

''to get the zero's of a function, set the numerator = 0''

''to get the poles of a function, set the denominator = 0''

is this correct??