Let y=f(x) be a polynomial of odd degree...

Let `y=f(x)` be a polynomial of odd degree `(geq3)` with real coefficients and (a, b) be any point. Statement 1: There always exists a line passing through `(a , b)` and touching the curve `y=f(x)` at some point. Statement 2: A polynomial of odd degree with real coefficients has at least one real root.

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