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Consider the polynomial function f(x)=x^...

Consider the polynomial function `f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^2/2+x`
Statement-1: The equation `f(x) = 0` can not have two or more roots.
Statement-2: Rolles theorem is not applicable for `y=f(x)` on any interval `[a, b]` where `a,b in R`

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