Maybe this is a stupid question, but assume we have constant function $f=0$. Then my simple question is if this function has simple zeros?
Any element in the domain is a zero of infinite multiplicity, isn' it?
Does a constant 0 function have simple zeros?
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real-analysis
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1What is simple zero of a function? If you mean a zero such that it is not a zero of derivative then of course all zeros of identical zero function are not simple. – 2017-02-01
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0Can the multiplicity of a zero be greater than the degree of the polynomial? (If we're not considering $f$ as a polynomial, what does multiplicity of zeros mean?) – 2017-02-01